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Finding the Fourth Proportional to 25,202.96, 37,788.24 and 9,612.08

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Solution

The fourth proportional to 25,202.96, 37,788.24 and 9,612.08 is: 14,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.96 : 37,788.24 = 9,612.08 : x
  2. Step 2: Convert to fraction form
    25,202.96/37,788.24 = 9,612.08/x
  3. Step 3: Cross multiply
    25,202.96x = 37,788.24 × 9,612.08
  4. Step 4: Simplify right side
    25,202.96x = 363,223,585.94
  5. Step 5: Solve for x
    x = 363,223,585.94/25,202.96
  6. Step 6: Final answer
    x = 14,411.94

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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.