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Finding the Fourth Proportional to 6,677.67, 9,972.94 and 5,679.85

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Solution

The fourth proportional to 6,677.67, 9,972.94 and 5,679.85 is: 8,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.67 : 9,972.94 = 5,679.85 : x
  2. Step 2: Convert to fraction form
    6,677.67/9,972.94 = 5,679.85/x
  3. Step 3: Cross multiply
    6,677.67x = 9,972.94 × 5,679.85
  4. Step 4: Simplify right side
    6,677.67x = 56,644,803.26
  5. Step 5: Solve for x
    x = 56,644,803.26/6,677.67
  6. Step 6: Final answer
    x = 8,482.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.