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Finding the Fourth Proportional to 10,466, 15,697.84 and 3,070.52

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Solution

The fourth proportional to 10,466, 15,697.84 and 3,070.52 is: 4,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 15,697.84 = 3,070.52 : x
  2. Step 2: Convert to fraction form
    10,466/15,697.84 = 3,070.52/x
  3. Step 3: Cross multiply
    10,466x = 15,697.84 × 3,070.52
  4. Step 4: Simplify right side
    10,466x = 48,200,531.68
  5. Step 5: Solve for x
    x = 48,200,531.68/10,466
  6. Step 6: Final answer
    x = 4,605.44

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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.