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Finding the Fourth Proportional to 7,857.68, 10,843.47 and 4,320.88

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Solution

The fourth proportional to 7,857.68, 10,843.47 and 4,320.88 is: 5,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.68 : 10,843.47 = 4,320.88 : x
  2. Step 2: Convert to fraction form
    7,857.68/10,843.47 = 4,320.88/x
  3. Step 3: Cross multiply
    7,857.68x = 10,843.47 × 4,320.88
  4. Step 4: Simplify right side
    7,857.68x = 46,853,305.54
  5. Step 5: Solve for x
    x = 46,853,305.54/7,857.68
  6. Step 6: Final answer
    x = 5,962.74

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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.