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Finding the Fourth Proportional to 9,699.58, 14,549.38 and 2,774.08

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Solution

The fourth proportional to 9,699.58, 14,549.38 and 2,774.08 is: 4,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.58 : 14,549.38 = 2,774.08 : x
  2. Step 2: Convert to fraction form
    9,699.58/14,549.38 = 2,774.08/x
  3. Step 3: Cross multiply
    9,699.58x = 14,549.38 × 2,774.08
  4. Step 4: Simplify right side
    9,699.58x = 40,361,144.07
  5. Step 5: Solve for x
    x = 40,361,144.07/9,699.58
  6. Step 6: Final answer
    x = 4,161.12

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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.