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Finding the Fourth Proportional to 6,223.80, 9,340.80 and 6,175.20

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Solution

The fourth proportional to 6,223.80, 9,340.80 and 6,175.20 is: 9,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.80 : 9,340.80 = 6,175.20 : x
  2. Step 2: Convert to fraction form
    6,223.80/9,340.80 = 6,175.20/x
  3. Step 3: Cross multiply
    6,223.80x = 9,340.80 × 6,175.20
  4. Step 4: Simplify right side
    6,223.80x = 57,681,308.16
  5. Step 5: Solve for x
    x = 57,681,308.16/6,223.80
  6. Step 6: Final answer
    x = 9,267.86

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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.