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Finding the Fourth Proportional to 13,740.71, 18,962.17 and 7,453.08

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Solution

The fourth proportional to 13,740.71, 18,962.17 and 7,453.08 is: 10,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.71 : 18,962.17 = 7,453.08 : x
  2. Step 2: Convert to fraction form
    13,740.71/18,962.17 = 7,453.08/x
  3. Step 3: Cross multiply
    13,740.71x = 18,962.17 × 7,453.08
  4. Step 4: Simplify right side
    13,740.71x = 141,326,551.35
  5. Step 5: Solve for x
    x = 141,326,551.35/13,740.71
  6. Step 6: Final answer
    x = 10,285.25

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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.