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Finding the Fourth Proportional to 11,902.34, 16,424.97 and 6,597.11

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Solution

The fourth proportional to 11,902.34, 16,424.97 and 6,597.11 is: 9,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.34 : 16,424.97 = 6,597.11 : x
  2. Step 2: Convert to fraction form
    11,902.34/16,424.97 = 6,597.11/x
  3. Step 3: Cross multiply
    11,902.34x = 16,424.97 × 6,597.11
  4. Step 4: Simplify right side
    11,902.34x = 108,357,251.71
  5. Step 5: Solve for x
    x = 108,357,251.71/11,902.34
  6. Step 6: Final answer
    x = 9,103.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.