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Finding the Fourth Proportional to 6,727.68, 10,100.16 and 5,708.16

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Solution

The fourth proportional to 6,727.68, 10,100.16 and 5,708.16 is: 8,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.68 : 10,100.16 = 5,708.16 : x
  2. Step 2: Convert to fraction form
    6,727.68/10,100.16 = 5,708.16/x
  3. Step 3: Cross multiply
    6,727.68x = 10,100.16 × 5,708.16
  4. Step 4: Simplify right side
    6,727.68x = 57,653,329.31
  5. Step 5: Solve for x
    x = 57,653,329.31/6,727.68
  6. Step 6: Final answer
    x = 8,569.57

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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.