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Finding the Fourth Proportional to 6,865.99, 9,475.65 and 3,882.35

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Solution

The fourth proportional to 6,865.99, 9,475.65 and 3,882.35 is: 5,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.99 : 9,475.65 = 3,882.35 : x
  2. Step 2: Convert to fraction form
    6,865.99/9,475.65 = 3,882.35/x
  3. Step 3: Cross multiply
    6,865.99x = 9,475.65 × 3,882.35
  4. Step 4: Simplify right side
    6,865.99x = 36,787,813.47
  5. Step 5: Solve for x
    x = 36,787,813.47/6,865.99
  6. Step 6: Final answer
    x = 5,357.98

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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.