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Finding the Fourth Proportional to 10,498.48, 14,489.76 and 6,307

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Solution

The fourth proportional to 10,498.48, 14,489.76 and 6,307 is: 8,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.48 : 14,489.76 = 6,307 : x
  2. Step 2: Convert to fraction form
    10,498.48/14,489.76 = 6,307/x
  3. Step 3: Cross multiply
    10,498.48x = 14,489.76 × 6,307
  4. Step 4: Simplify right side
    10,498.48x = 91,386,916.32
  5. Step 5: Solve for x
    x = 91,386,916.32/10,498.48
  6. Step 6: Final answer
    x = 8,704.78

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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.