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Finding the Fourth Proportional to 7,758.80, 10,727.88 and 6,775.04

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Solution

The fourth proportional to 7,758.80, 10,727.88 and 6,775.04 is: 9,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.80 : 10,727.88 = 6,775.04 : x
  2. Step 2: Convert to fraction form
    7,758.80/10,727.88 = 6,775.04/x
  3. Step 3: Cross multiply
    7,758.80x = 10,727.88 × 6,775.04
  4. Step 4: Simplify right side
    7,758.80x = 72,681,816.12
  5. Step 5: Solve for x
    x = 72,681,816.12/7,758.80
  6. Step 6: Final answer
    x = 9,367.66

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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.