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Finding the Fourth Proportional to 9,772.92, 14,691.84 and 7,582.68

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Solution

The fourth proportional to 9,772.92, 14,691.84 and 7,582.68 is: 11,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.92 : 14,691.84 = 7,582.68 : x
  2. Step 2: Convert to fraction form
    9,772.92/14,691.84 = 7,582.68/x
  3. Step 3: Cross multiply
    9,772.92x = 14,691.84 × 7,582.68
  4. Step 4: Simplify right side
    9,772.92x = 111,403,521.33
  5. Step 5: Solve for x
    x = 111,403,521.33/9,772.92
  6. Step 6: Final answer
    x = 11,399.21

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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.