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Finding the Fourth Proportional to 10,148.52, 15,210 and 4,600.20

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Solution

The fourth proportional to 10,148.52, 15,210 and 4,600.20 is: 6,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.52 : 15,210 = 4,600.20 : x
  2. Step 2: Convert to fraction form
    10,148.52/15,210 = 4,600.20/x
  3. Step 3: Cross multiply
    10,148.52x = 15,210 × 4,600.20
  4. Step 4: Simplify right side
    10,148.52x = 69,969,042
  5. Step 5: Solve for x
    x = 69,969,042/10,148.52
  6. Step 6: Final answer
    x = 6,894.51

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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.