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Finding the Fourth Proportional to 7,853.87, 10,835.61 and 4,868.61

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Solution

The fourth proportional to 7,853.87, 10,835.61 and 4,868.61 is: 6,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.87 : 10,835.61 = 4,868.61 : x
  2. Step 2: Convert to fraction form
    7,853.87/10,835.61 = 4,868.61/x
  3. Step 3: Cross multiply
    7,853.87x = 10,835.61 × 4,868.61
  4. Step 4: Simplify right side
    7,853.87x = 52,754,359.20
  5. Step 5: Solve for x
    x = 52,754,359.20/7,853.87
  6. Step 6: Final answer
    x = 6,716.99

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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.