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Finding the Fourth Proportional to 7,670.71, 11,506.05 and 4,229.83

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Solution

The fourth proportional to 7,670.71, 11,506.05 and 4,229.83 is: 6,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.71 : 11,506.05 = 4,229.83 : x
  2. Step 2: Convert to fraction form
    7,670.71/11,506.05 = 4,229.83/x
  3. Step 3: Cross multiply
    7,670.71x = 11,506.05 × 4,229.83
  4. Step 4: Simplify right side
    7,670.71x = 48,668,649.85
  5. Step 5: Solve for x
    x = 48,668,649.85/7,670.71
  6. Step 6: Final answer
    x = 6,344.74

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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.