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Finding the Fourth Proportional to 13,507.53, 18,641.12 and 7,539.14

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Solution

The fourth proportional to 13,507.53, 18,641.12 and 7,539.14 is: 10,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.53 : 18,641.12 = 7,539.14 : x
  2. Step 2: Convert to fraction form
    13,507.53/18,641.12 = 7,539.14/x
  3. Step 3: Cross multiply
    13,507.53x = 18,641.12 × 7,539.14
  4. Step 4: Simplify right side
    13,507.53x = 140,538,022.34
  5. Step 5: Solve for x
    x = 140,538,022.34/13,507.53
  6. Step 6: Final answer
    x = 10,404.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.