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Finding the Fourth Proportional to 6,354.51, 9,532.68 and 2,407.26

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Solution

The fourth proportional to 6,354.51, 9,532.68 and 2,407.26 is: 3,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.51 : 9,532.68 = 2,407.26 : x
  2. Step 2: Convert to fraction form
    6,354.51/9,532.68 = 2,407.26/x
  3. Step 3: Cross multiply
    6,354.51x = 9,532.68 × 2,407.26
  4. Step 4: Simplify right side
    6,354.51x = 22,947,639.26
  5. Step 5: Solve for x
    x = 22,947,639.26/6,354.51
  6. Step 6: Final answer
    x = 3,611.24

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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.