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Finding the Fourth Proportional to 10,146.52, 15,207 and 4,598.20

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Solution

The fourth proportional to 10,146.52, 15,207 and 4,598.20 is: 6,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.52 : 15,207 = 4,598.20 : x
  2. Step 2: Convert to fraction form
    10,146.52/15,207 = 4,598.20/x
  3. Step 3: Cross multiply
    10,146.52x = 15,207 × 4,598.20
  4. Step 4: Simplify right side
    10,146.52x = 69,924,827.40
  5. Step 5: Solve for x
    x = 69,924,827.40/10,146.52
  6. Step 6: Final answer
    x = 6,891.51

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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.