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Finding the Fourth Proportional to 6,594.68, 9,092.94 and 5,264.12

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Solution

The fourth proportional to 6,594.68, 9,092.94 and 5,264.12 is: 7,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.68 : 9,092.94 = 5,264.12 : x
  2. Step 2: Convert to fraction form
    6,594.68/9,092.94 = 5,264.12/x
  3. Step 3: Cross multiply
    6,594.68x = 9,092.94 × 5,264.12
  4. Step 4: Simplify right side
    6,594.68x = 47,866,327.31
  5. Step 5: Solve for x
    x = 47,866,327.31/6,594.68
  6. Step 6: Final answer
    x = 7,258.32

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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.