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Finding the Fourth Proportional to 7,663.77, 10,575.84 and 4,306.14

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Solution

The fourth proportional to 7,663.77, 10,575.84 and 4,306.14 is: 5,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.77 : 10,575.84 = 4,306.14 : x
  2. Step 2: Convert to fraction form
    7,663.77/10,575.84 = 4,306.14/x
  3. Step 3: Cross multiply
    7,663.77x = 10,575.84 × 4,306.14
  4. Step 4: Simplify right side
    7,663.77x = 45,541,047.66
  5. Step 5: Solve for x
    x = 45,541,047.66/7,663.77
  6. Step 6: Final answer
    x = 5,942.38

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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.