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Finding the Fourth Proportional to 22,643.84, 33,975.17 and 9,987.14

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Solution

The fourth proportional to 22,643.84, 33,975.17 and 9,987.14 is: 14,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.84 : 33,975.17 = 9,987.14 : x
  2. Step 2: Convert to fraction form
    22,643.84/33,975.17 = 9,987.14/x
  3. Step 3: Cross multiply
    22,643.84x = 33,975.17 × 9,987.14
  4. Step 4: Simplify right side
    22,643.84x = 339,314,559.50
  5. Step 5: Solve for x
    x = 339,314,559.50/22,643.84
  6. Step 6: Final answer
    x = 14,984.85

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.