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Finding the Fourth Proportional to 6,302.97, 9,454.46 and 1,920.47

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Solution

The fourth proportional to 6,302.97, 9,454.46 and 1,920.47 is: 2,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.97 : 9,454.46 = 1,920.47 : x
  2. Step 2: Convert to fraction form
    6,302.97/9,454.46 = 1,920.47/x
  3. Step 3: Cross multiply
    6,302.97x = 9,454.46 × 1,920.47
  4. Step 4: Simplify right side
    6,302.97x = 18,156,973.56
  5. Step 5: Solve for x
    x = 18,156,973.56/6,302.97
  6. Step 6: Final answer
    x = 2,880.70

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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.