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Finding the Fourth Proportional to 25,737.87, 38,606.40 and 8,207.58

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Solution

The fourth proportional to 25,737.87, 38,606.40 and 8,207.58 is: 12,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.87 : 38,606.40 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    25,737.87/38,606.40 = 8,207.58/x
  3. Step 3: Cross multiply
    25,737.87x = 38,606.40 × 8,207.58
  4. Step 4: Simplify right side
    25,737.87x = 316,865,116.51
  5. Step 5: Solve for x
    x = 316,865,116.51/25,737.87
  6. Step 6: Final answer
    x = 12,311.24

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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.