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Finding the Fourth Proportional to 6,478.97, 9,718.52 and 2,968.83

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Solution

The fourth proportional to 6,478.97, 9,718.52 and 2,968.83 is: 4,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.97 : 9,718.52 = 2,968.83 : x
  2. Step 2: Convert to fraction form
    6,478.97/9,718.52 = 2,968.83/x
  3. Step 3: Cross multiply
    6,478.97x = 9,718.52 × 2,968.83
  4. Step 4: Simplify right side
    6,478.97x = 28,852,618.89
  5. Step 5: Solve for x
    x = 28,852,618.89/6,478.97
  6. Step 6: Final answer
    x = 4,453.28

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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.