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Finding the Fourth Proportional to 9,658.56, 14,488.16 and 7,034.08

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Solution

The fourth proportional to 9,658.56, 14,488.16 and 7,034.08 is: 10,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.56 : 14,488.16 = 7,034.08 : x
  2. Step 2: Convert to fraction form
    9,658.56/14,488.16 = 7,034.08/x
  3. Step 3: Cross multiply
    9,658.56x = 14,488.16 × 7,034.08
  4. Step 4: Simplify right side
    9,658.56x = 101,910,876.49
  5. Step 5: Solve for x
    x = 101,910,876.49/9,658.56
  6. Step 6: Final answer
    x = 10,551.35

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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.