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Finding the Fourth Proportional to 6,552.60, 9,042.50 and 3,568.40

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Solution

The fourth proportional to 6,552.60, 9,042.50 and 3,568.40 is: 4,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.60 : 9,042.50 = 3,568.40 : x
  2. Step 2: Convert to fraction form
    6,552.60/9,042.50 = 3,568.40/x
  3. Step 3: Cross multiply
    6,552.60x = 9,042.50 × 3,568.40
  4. Step 4: Simplify right side
    6,552.60x = 32,267,257
  5. Step 5: Solve for x
    x = 32,267,257/6,552.60
  6. Step 6: Final answer
    x = 4,924.34

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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.