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Finding the Fourth Proportional to 25,649.84, 38,474.59 and 6,931.74

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Solution

The fourth proportional to 25,649.84, 38,474.59 and 6,931.74 is: 10,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.84 : 38,474.59 = 6,931.74 : x
  2. Step 2: Convert to fraction form
    25,649.84/38,474.59 = 6,931.74/x
  3. Step 3: Cross multiply
    25,649.84x = 38,474.59 × 6,931.74
  4. Step 4: Simplify right side
    25,649.84x = 266,695,854.49
  5. Step 5: Solve for x
    x = 266,695,854.49/25,649.84
  6. Step 6: Final answer
    x = 10,397.56

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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.