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Finding the Fourth Proportional to 7,162.91, 10,696.12 and 5,849.22

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Solution

The fourth proportional to 7,162.91, 10,696.12 and 5,849.22 is: 8,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.91 : 10,696.12 = 5,849.22 : x
  2. Step 2: Convert to fraction form
    7,162.91/10,696.12 = 5,849.22/x
  3. Step 3: Cross multiply
    7,162.91x = 10,696.12 × 5,849.22
  4. Step 4: Simplify right side
    7,162.91x = 62,563,959.03
  5. Step 5: Solve for x
    x = 62,563,959.03/7,162.91
  6. Step 6: Final answer
    x = 8,734.43

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.