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Finding the Fourth Proportional to 6,114.49, 9,176.98 and 6,068.47

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Solution

The fourth proportional to 6,114.49, 9,176.98 and 6,068.47 is: 9,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.49 : 9,176.98 = 6,068.47 : x
  2. Step 2: Convert to fraction form
    6,114.49/9,176.98 = 6,068.47/x
  3. Step 3: Cross multiply
    6,114.49x = 9,176.98 × 6,068.47
  4. Step 4: Simplify right side
    6,114.49x = 55,690,197.48
  5. Step 5: Solve for x
    x = 55,690,197.48/6,114.49
  6. Step 6: Final answer
    x = 9,107.91

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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.