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Finding the Fourth Proportional to 6,500.64, 8,971.20 and 3,707.04

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Solution

The fourth proportional to 6,500.64, 8,971.20 and 3,707.04 is: 5,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.64 : 8,971.20 = 3,707.04 : x
  2. Step 2: Convert to fraction form
    6,500.64/8,971.20 = 3,707.04/x
  3. Step 3: Cross multiply
    6,500.64x = 8,971.20 × 3,707.04
  4. Step 4: Simplify right side
    6,500.64x = 33,256,597.25
  5. Step 5: Solve for x
    x = 33,256,597.25/6,500.64
  6. Step 6: Final answer
    x = 5,115.90

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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.