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Finding the Fourth Proportional to 9,089.70, 13,634.55 and 9,032.10

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Solution

The fourth proportional to 9,089.70, 13,634.55 and 9,032.10 is: 13,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.70 : 13,634.55 = 9,032.10 : x
  2. Step 2: Convert to fraction form
    9,089.70/13,634.55 = 9,032.10/x
  3. Step 3: Cross multiply
    9,089.70x = 13,634.55 × 9,032.10
  4. Step 4: Simplify right side
    9,089.70x = 123,148,619.06
  5. Step 5: Solve for x
    x = 123,148,619.06/9,089.70
  6. Step 6: Final answer
    x = 13,548.15

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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.