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Finding the Fourth Proportional to 10,543.97, 14,550.27 and 6,069.15

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Solution

The fourth proportional to 10,543.97, 14,550.27 and 6,069.15 is: 8,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.97 : 14,550.27 = 6,069.15 : x
  2. Step 2: Convert to fraction form
    10,543.97/14,550.27 = 6,069.15/x
  3. Step 3: Cross multiply
    10,543.97x = 14,550.27 × 6,069.15
  4. Step 4: Simplify right side
    10,543.97x = 88,307,771.17
  5. Step 5: Solve for x
    x = 88,307,771.17/10,543.97
  6. Step 6: Final answer
    x = 8,375.20

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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.