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Finding the Fourth Proportional to 7,165.77, 9,882.54 and 4,646.97

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Solution

The fourth proportional to 7,165.77, 9,882.54 and 4,646.97 is: 6,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.77 : 9,882.54 = 4,646.97 : x
  2. Step 2: Convert to fraction form
    7,165.77/9,882.54 = 4,646.97/x
  3. Step 3: Cross multiply
    7,165.77x = 9,882.54 × 4,646.97
  4. Step 4: Simplify right side
    7,165.77x = 45,923,866.90
  5. Step 5: Solve for x
    x = 45,923,866.90/7,165.77
  6. Step 6: Final answer
    x = 6,408.78

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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.