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Finding the Fourth Proportional to 6,697.34, 9,242.25 and 3,864.68

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Solution

The fourth proportional to 6,697.34, 9,242.25 and 3,864.68 is: 5,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.34 : 9,242.25 = 3,864.68 : x
  2. Step 2: Convert to fraction form
    6,697.34/9,242.25 = 3,864.68/x
  3. Step 3: Cross multiply
    6,697.34x = 9,242.25 × 3,864.68
  4. Step 4: Simplify right side
    6,697.34x = 35,718,292.52
  5. Step 5: Solve for x
    x = 35,718,292.52/6,697.34
  6. Step 6: Final answer
    x = 5,333.21

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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.