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Finding the Fourth Proportional to 4,468.80, 6,703.20 and 4,123.20

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Solution

The fourth proportional to 4,468.80, 6,703.20 and 4,123.20 is: 6,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.80 : 6,703.20 = 4,123.20 : x
  2. Step 2: Convert to fraction form
    4,468.80/6,703.20 = 4,123.20/x
  3. Step 3: Cross multiply
    4,468.80x = 6,703.20 × 4,123.20
  4. Step 4: Simplify right side
    4,468.80x = 27,638,634.24
  5. Step 5: Solve for x
    x = 27,638,634.24/4,468.80
  6. Step 6: Final answer
    x = 6,184.80

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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.