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Finding the Fourth Proportional to 25,700.17, 38,526.84 and 9,895.09

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Solution

The fourth proportional to 25,700.17, 38,526.84 and 9,895.09 is: 14,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.17 : 38,526.84 = 9,895.09 : x
  2. Step 2: Convert to fraction form
    25,700.17/38,526.84 = 9,895.09/x
  3. Step 3: Cross multiply
    25,700.17x = 38,526.84 × 9,895.09
  4. Step 4: Simplify right side
    25,700.17x = 381,226,549.22
  5. Step 5: Solve for x
    x = 381,226,549.22/25,700.17
  6. Step 6: Final answer
    x = 14,833.62

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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.