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Finding the Fourth Proportional to 10,573.68, 14,591.59 and 6,097.39

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Solution

The fourth proportional to 10,573.68, 14,591.59 and 6,097.39 is: 8,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.68 : 14,591.59 = 6,097.39 : x
  2. Step 2: Convert to fraction form
    10,573.68/14,591.59 = 6,097.39/x
  3. Step 3: Cross multiply
    10,573.68x = 14,591.59 × 6,097.39
  4. Step 4: Simplify right side
    10,573.68x = 88,970,614.95
  5. Step 5: Solve for x
    x = 88,970,614.95/10,573.68
  6. Step 6: Final answer
    x = 8,414.35

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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.