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Finding the Fourth Proportional to 9,497.74, 14,248.41 and 3,948.07

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Solution

The fourth proportional to 9,497.74, 14,248.41 and 3,948.07 is: 5,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.74 : 14,248.41 = 3,948.07 : x
  2. Step 2: Convert to fraction form
    9,497.74/14,248.41 = 3,948.07/x
  3. Step 3: Cross multiply
    9,497.74x = 14,248.41 × 3,948.07
  4. Step 4: Simplify right side
    9,497.74x = 56,253,720.07
  5. Step 5: Solve for x
    x = 56,253,720.07/9,497.74
  6. Step 6: Final answer
    x = 5,922.85

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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.