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Finding the Fourth Proportional to 7,112.76, 9,815.76 and 3,968.88

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Solution

The fourth proportional to 7,112.76, 9,815.76 and 3,968.88 is: 5,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.76 : 9,815.76 = 3,968.88 : x
  2. Step 2: Convert to fraction form
    7,112.76/9,815.76 = 3,968.88/x
  3. Step 3: Cross multiply
    7,112.76x = 9,815.76 × 3,968.88
  4. Step 4: Simplify right side
    7,112.76x = 38,957,573.55
  5. Step 5: Solve for x
    x = 38,957,573.55/7,112.76
  6. Step 6: Final answer
    x = 5,477.14

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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.