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Finding the Fourth Proportional to 10,920.44, 15,070.20 and 5,952.44

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Solution

The fourth proportional to 10,920.44, 15,070.20 and 5,952.44 is: 8,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.44 : 15,070.20 = 5,952.44 : x
  2. Step 2: Convert to fraction form
    10,920.44/15,070.20 = 5,952.44/x
  3. Step 3: Cross multiply
    10,920.44x = 15,070.20 × 5,952.44
  4. Step 4: Simplify right side
    10,920.44x = 89,704,461.29
  5. Step 5: Solve for x
    x = 89,704,461.29/10,920.44
  6. Step 6: Final answer
    x = 8,214.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.