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Finding the Fourth Proportional to 25,952.87, 38,934.50 and 9,314.20

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Solution

The fourth proportional to 25,952.87, 38,934.50 and 9,314.20 is: 13,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.87 : 38,934.50 = 9,314.20 : x
  2. Step 2: Convert to fraction form
    25,952.87/38,934.50 = 9,314.20/x
  3. Step 3: Cross multiply
    25,952.87x = 38,934.50 × 9,314.20
  4. Step 4: Simplify right side
    25,952.87x = 362,643,861.89
  5. Step 5: Solve for x
    x = 362,643,861.89/25,952.87
  6. Step 6: Final answer
    x = 13,973.17

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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.