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Finding the Fourth Proportional to 10,659.68, 14,710.16 and 5,944.80

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Solution

The fourth proportional to 10,659.68, 14,710.16 and 5,944.80 is: 8,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.68 : 14,710.16 = 5,944.80 : x
  2. Step 2: Convert to fraction form
    10,659.68/14,710.16 = 5,944.80/x
  3. Step 3: Cross multiply
    10,659.68x = 14,710.16 × 5,944.80
  4. Step 4: Simplify right side
    10,659.68x = 87,448,959.17
  5. Step 5: Solve for x
    x = 87,448,959.17/10,659.68
  6. Step 6: Final answer
    x = 8,203.71

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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.