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Finding the Fourth Proportional to 7,177.80, 9,904.80 and 4,033.40

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Solution

The fourth proportional to 7,177.80, 9,904.80 and 4,033.40 is: 5,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.80 : 9,904.80 = 4,033.40 : x
  2. Step 2: Convert to fraction form
    7,177.80/9,904.80 = 4,033.40/x
  3. Step 3: Cross multiply
    7,177.80x = 9,904.80 × 4,033.40
  4. Step 4: Simplify right side
    7,177.80x = 39,950,020.32
  5. Step 5: Solve for x
    x = 39,950,020.32/7,177.80
  6. Step 6: Final answer
    x = 5,565.78

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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.