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Finding the Fourth Proportional to 6,697.64, 10,045.01 and 4,229.16

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Solution

The fourth proportional to 6,697.64, 10,045.01 and 4,229.16 is: 6,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.64 : 10,045.01 = 4,229.16 : x
  2. Step 2: Convert to fraction form
    6,697.64/10,045.01 = 4,229.16/x
  3. Step 3: Cross multiply
    6,697.64x = 10,045.01 × 4,229.16
  4. Step 4: Simplify right side
    6,697.64x = 42,481,965.06
  5. Step 5: Solve for x
    x = 42,481,965.06/6,697.64
  6. Step 6: Final answer
    x = 6,342.83

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1.5x scale

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.