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Finding the Fourth Proportional to 10,257.47, 15,415.07 and 6,098.22

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Solution

The fourth proportional to 10,257.47, 15,415.07 and 6,098.22 is: 9,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.47 : 15,415.07 = 6,098.22 : x
  2. Step 2: Convert to fraction form
    10,257.47/15,415.07 = 6,098.22/x
  3. Step 3: Cross multiply
    10,257.47x = 15,415.07 × 6,098.22
  4. Step 4: Simplify right side
    10,257.47x = 94,004,488.18
  5. Step 5: Solve for x
    x = 94,004,488.18/10,257.47
  6. Step 6: Final answer
    x = 9,164.49

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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.