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Finding the Fourth Proportional to 6,398.60, 9,594.87 and 2,393.27

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Solution

The fourth proportional to 6,398.60, 9,594.87 and 2,393.27 is: 3,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.60 : 9,594.87 = 2,393.27 : x
  2. Step 2: Convert to fraction form
    6,398.60/9,594.87 = 2,393.27/x
  3. Step 3: Cross multiply
    6,398.60x = 9,594.87 × 2,393.27
  4. Step 4: Simplify right side
    6,398.60x = 22,963,114.52
  5. Step 5: Solve for x
    x = 22,963,114.52/6,398.60
  6. Step 6: Final answer
    x = 3,588.77

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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.