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Finding the Fourth Proportional to 9,658.26, 14,489.10 and 4,464

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Solution

The fourth proportional to 9,658.26, 14,489.10 and 4,464 is: 6,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.26 : 14,489.10 = 4,464 : x
  2. Step 2: Convert to fraction form
    9,658.26/14,489.10 = 4,464/x
  3. Step 3: Cross multiply
    9,658.26x = 14,489.10 × 4,464
  4. Step 4: Simplify right side
    9,658.26x = 64,679,342.40
  5. Step 5: Solve for x
    x = 64,679,342.40/9,658.26
  6. Step 6: Final answer
    x = 6,696.79

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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.