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Finding the Fourth Proportional to 6,697.68, 10,045.80 and 5,233.20

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Solution

The fourth proportional to 6,697.68, 10,045.80 and 5,233.20 is: 7,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.68 : 10,045.80 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    6,697.68/10,045.80 = 5,233.20/x
  3. Step 3: Cross multiply
    6,697.68x = 10,045.80 × 5,233.20
  4. Step 4: Simplify right side
    6,697.68x = 52,571,680.56
  5. Step 5: Solve for x
    x = 52,571,680.56/6,697.68
  6. Step 6: Final answer
    x = 7,849.24

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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.