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Finding the Fourth Proportional to 4,562.80, 6,838.80 and 4,098.40

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Solution

The fourth proportional to 4,562.80, 6,838.80 and 4,098.40 is: 6,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.80 : 6,838.80 = 4,098.40 : x
  2. Step 2: Convert to fraction form
    4,562.80/6,838.80 = 4,098.40/x
  3. Step 3: Cross multiply
    4,562.80x = 6,838.80 × 4,098.40
  4. Step 4: Simplify right side
    4,562.80x = 28,028,137.92
  5. Step 5: Solve for x
    x = 28,028,137.92/4,562.80
  6. Step 6: Final answer
    x = 6,142.75

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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.