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Finding the Fourth Proportional to 25,282.26, 37,895.13 and 9,472.08

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Solution

The fourth proportional to 25,282.26, 37,895.13 and 9,472.08 is: 14,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.26 : 37,895.13 = 9,472.08 : x
  2. Step 2: Convert to fraction form
    25,282.26/37,895.13 = 9,472.08/x
  3. Step 3: Cross multiply
    25,282.26x = 37,895.13 × 9,472.08
  4. Step 4: Simplify right side
    25,282.26x = 358,945,702.97
  5. Step 5: Solve for x
    x = 358,945,702.97/25,282.26
  6. Step 6: Final answer
    x = 14,197.53

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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.