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Finding the Fourth Proportional to 10,099.04, 15,143.51 and 6,398.46

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Solution

The fourth proportional to 10,099.04, 15,143.51 and 6,398.46 is: 9,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.04 : 15,143.51 = 6,398.46 : x
  2. Step 2: Convert to fraction form
    10,099.04/15,143.51 = 6,398.46/x
  3. Step 3: Cross multiply
    10,099.04x = 15,143.51 × 6,398.46
  4. Step 4: Simplify right side
    10,099.04x = 96,895,158.99
  5. Step 5: Solve for x
    x = 96,895,158.99/10,099.04
  6. Step 6: Final answer
    x = 9,594.50

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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.