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Finding the Fourth Proportional to 10,352.70, 15,539.85 and 5,978.70

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Solution

The fourth proportional to 10,352.70, 15,539.85 and 5,978.70 is: 8,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.70 : 15,539.85 = 5,978.70 : x
  2. Step 2: Convert to fraction form
    10,352.70/15,539.85 = 5,978.70/x
  3. Step 3: Cross multiply
    10,352.70x = 15,539.85 × 5,978.70
  4. Step 4: Simplify right side
    10,352.70x = 92,908,101.20
  5. Step 5: Solve for x
    x = 92,908,101.20/10,352.70
  6. Step 6: Final answer
    x = 8,974.29

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1.5x scale

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.