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Finding the Fourth Proportional to 7,176.94, 9,882.75 and 6,654.22

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Solution

The fourth proportional to 7,176.94, 9,882.75 and 6,654.22 is: 9,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.94 : 9,882.75 = 6,654.22 : x
  2. Step 2: Convert to fraction form
    7,176.94/9,882.75 = 6,654.22/x
  3. Step 3: Cross multiply
    7,176.94x = 9,882.75 × 6,654.22
  4. Step 4: Simplify right side
    7,176.94x = 65,761,992.71
  5. Step 5: Solve for x
    x = 65,761,992.71/7,176.94
  6. Step 6: Final answer
    x = 9,162.96

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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.