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Finding the Fourth Proportional to 6,594.68, 9,892.02 and 2,697.50

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Solution

The fourth proportional to 6,594.68, 9,892.02 and 2,697.50 is: 4,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.68 : 9,892.02 = 2,697.50 : x
  2. Step 2: Convert to fraction form
    6,594.68/9,892.02 = 2,697.50/x
  3. Step 3: Cross multiply
    6,594.68x = 9,892.02 × 2,697.50
  4. Step 4: Simplify right side
    6,594.68x = 26,683,723.95
  5. Step 5: Solve for x
    x = 26,683,723.95/6,594.68
  6. Step 6: Final answer
    x = 4,046.25

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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.