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Finding the Fourth Proportional to 6,102.40, 9,142.80 and 5,411.20

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Solution

The fourth proportional to 6,102.40, 9,142.80 and 5,411.20 is: 8,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,142.80 = 5,411.20 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,142.80 = 5,411.20/x
  3. Step 3: Cross multiply
    6,102.40x = 9,142.80 × 5,411.20
  4. Step 4: Simplify right side
    6,102.40x = 49,473,519.36
  5. Step 5: Solve for x
    x = 49,473,519.36/6,102.40
  6. Step 6: Final answer
    x = 8,107.22

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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.