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Finding the Fourth Proportional to 7,042.82, 9,719.22 and 3,856.16

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Solution

The fourth proportional to 7,042.82, 9,719.22 and 3,856.16 is: 5,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.82 : 9,719.22 = 3,856.16 : x
  2. Step 2: Convert to fraction form
    7,042.82/9,719.22 = 3,856.16/x
  3. Step 3: Cross multiply
    7,042.82x = 9,719.22 × 3,856.16
  4. Step 4: Simplify right side
    7,042.82x = 37,478,867.40
  5. Step 5: Solve for x
    x = 37,478,867.40/7,042.82
  6. Step 6: Final answer
    x = 5,321.57

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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.