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Finding the Fourth Proportional to 6,573.87, 9,836.10 and 3,931.65

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Solution

The fourth proportional to 6,573.87, 9,836.10 and 3,931.65 is: 5,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.87 : 9,836.10 = 3,931.65 : x
  2. Step 2: Convert to fraction form
    6,573.87/9,836.10 = 3,931.65/x
  3. Step 3: Cross multiply
    6,573.87x = 9,836.10 × 3,931.65
  4. Step 4: Simplify right side
    6,573.87x = 38,672,102.57
  5. Step 5: Solve for x
    x = 38,672,102.57/6,573.87
  6. Step 6: Final answer
    x = 5,882.70

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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.