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Finding the Fourth Proportional to 7,711.83, 10,642.80 and 4,353.42

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Solution

The fourth proportional to 7,711.83, 10,642.80 and 4,353.42 is: 6,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.83 : 10,642.80 = 4,353.42 : x
  2. Step 2: Convert to fraction form
    7,711.83/10,642.80 = 4,353.42/x
  3. Step 3: Cross multiply
    7,711.83x = 10,642.80 × 4,353.42
  4. Step 4: Simplify right side
    7,711.83x = 46,332,578.38
  5. Step 5: Solve for x
    x = 46,332,578.38/7,711.83
  6. Step 6: Final answer
    x = 6,007.99

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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.