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Finding the Fourth Proportional to 25,916.92, 38,875.98 and 9,278.10

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Solution

The fourth proportional to 25,916.92, 38,875.98 and 9,278.10 is: 13,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916.92 : 38,875.98 = 9,278.10 : x
  2. Step 2: Convert to fraction form
    25,916.92/38,875.98 = 9,278.10/x
  3. Step 3: Cross multiply
    25,916.92x = 38,875.98 × 9,278.10
  4. Step 4: Simplify right side
    25,916.92x = 360,695,230.04
  5. Step 5: Solve for x
    x = 360,695,230.04/25,916.92
  6. Step 6: Final answer
    x = 13,917.36

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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.