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Finding the Fourth Proportional to 7,034.98, 9,707.78 and 3,891.20

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Solution

The fourth proportional to 7,034.98, 9,707.78 and 3,891.20 is: 5,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.98 : 9,707.78 = 3,891.20 : x
  2. Step 2: Convert to fraction form
    7,034.98/9,707.78 = 3,891.20/x
  3. Step 3: Cross multiply
    7,034.98x = 9,707.78 × 3,891.20
  4. Step 4: Simplify right side
    7,034.98x = 37,774,913.54
  5. Step 5: Solve for x
    x = 37,774,913.54/7,034.98
  6. Step 6: Final answer
    x = 5,369.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.