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Finding the Fourth Proportional to 10,460, 15,693.24 and 4,304

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Solution

The fourth proportional to 10,460, 15,693.24 and 4,304 is: 6,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 15,693.24 = 4,304 : x
  2. Step 2: Convert to fraction form
    10,460/15,693.24 = 4,304/x
  3. Step 3: Cross multiply
    10,460x = 15,693.24 × 4,304
  4. Step 4: Simplify right side
    10,460x = 67,543,704.96
  5. Step 5: Solve for x
    x = 67,543,704.96/10,460
  6. Step 6: Final answer
    x = 6,457.33

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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.