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Finding the Fourth Proportional to 10,498.64, 15,737.16 and 4,658

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Solution

The fourth proportional to 10,498.64, 15,737.16 and 4,658 is: 6,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.64 : 15,737.16 = 4,658 : x
  2. Step 2: Convert to fraction form
    10,498.64/15,737.16 = 4,658/x
  3. Step 3: Cross multiply
    10,498.64x = 15,737.16 × 4,658
  4. Step 4: Simplify right side
    10,498.64x = 73,303,691.28
  5. Step 5: Solve for x
    x = 73,303,691.28/10,498.64
  6. Step 6: Final answer
    x = 6,982.21

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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.