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Finding the Fourth Proportional to 6,409.60, 9,568.04 and 5,632

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Solution

The fourth proportional to 6,409.60, 9,568.04 and 5,632 is: 8,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,568.04 = 5,632 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,568.04 = 5,632/x
  3. Step 3: Cross multiply
    6,409.60x = 9,568.04 × 5,632
  4. Step 4: Simplify right side
    6,409.60x = 53,887,201.28
  5. Step 5: Solve for x
    x = 53,887,201.28/6,409.60
  6. Step 6: Final answer
    x = 8,407.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.