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Finding the Fourth Proportional to 15,098, 22,638.16 and 4,564.88

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Solution

The fourth proportional to 15,098, 22,638.16 and 4,564.88 is: 6,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098 : 22,638.16 = 4,564.88 : x
  2. Step 2: Convert to fraction form
    15,098/22,638.16 = 4,564.88/x
  3. Step 3: Cross multiply
    15,098x = 22,638.16 × 4,564.88
  4. Step 4: Simplify right side
    15,098x = 103,340,483.82
  5. Step 5: Solve for x
    x = 103,340,483.82/15,098
  6. Step 6: Final answer
    x = 6,844.65

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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.