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Finding the Fourth Proportional to 25,242.40, 37,869.16 and 7,713.60

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Solution

The fourth proportional to 25,242.40, 37,869.16 and 7,713.60 is: 11,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242.40 : 37,869.16 = 7,713.60 : x
  2. Step 2: Convert to fraction form
    25,242.40/37,869.16 = 7,713.60/x
  3. Step 3: Cross multiply
    25,242.40x = 37,869.16 × 7,713.60
  4. Step 4: Simplify right side
    25,242.40x = 292,107,552.58
  5. Step 5: Solve for x
    x = 292,107,552.58/25,242.40
  6. Step 6: Final answer
    x = 11,572.10

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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.