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Finding the Fourth Proportional to 6,277.88, 9,380.69 and 4,788.92

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Solution

The fourth proportional to 6,277.88, 9,380.69 and 4,788.92 is: 7,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.88 : 9,380.69 = 4,788.92 : x
  2. Step 2: Convert to fraction form
    6,277.88/9,380.69 = 4,788.92/x
  3. Step 3: Cross multiply
    6,277.88x = 9,380.69 × 4,788.92
  4. Step 4: Simplify right side
    6,277.88x = 44,923,373.95
  5. Step 5: Solve for x
    x = 44,923,373.95/6,277.88
  6. Step 6: Final answer
    x = 7,155.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.