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Finding the Fourth Proportional to 6,697.59, 9,242.01 and 3,864.39

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Solution

The fourth proportional to 6,697.59, 9,242.01 and 3,864.39 is: 5,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.59 : 9,242.01 = 3,864.39 : x
  2. Step 2: Convert to fraction form
    6,697.59/9,242.01 = 3,864.39/x
  3. Step 3: Cross multiply
    6,697.59x = 9,242.01 × 3,864.39
  4. Step 4: Simplify right side
    6,697.59x = 35,714,731.02
  5. Step 5: Solve for x
    x = 35,714,731.02/6,697.59
  6. Step 6: Final answer
    x = 5,332.47

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1.5x scale

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.