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Finding the Fourth Proportional to 7,854.44, 10,844.28 and 7,023.38

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Solution

The fourth proportional to 7,854.44, 10,844.28 and 7,023.38 is: 9,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.44 : 10,844.28 = 7,023.38 : x
  2. Step 2: Convert to fraction form
    7,854.44/10,844.28 = 7,023.38/x
  3. Step 3: Cross multiply
    7,854.44x = 10,844.28 × 7,023.38
  4. Step 4: Simplify right side
    7,854.44x = 76,163,445.05
  5. Step 5: Solve for x
    x = 76,163,445.05/7,854.44
  6. Step 6: Final answer
    x = 9,696.87

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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.