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Finding the Fourth Proportional to 8,193.25, 12,345.68 and 7,298.16

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Solution

The fourth proportional to 8,193.25, 12,345.68 and 7,298.16 is: 10,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.25 : 12,345.68 = 7,298.16 : x
  2. Step 2: Convert to fraction form
    8,193.25/12,345.68 = 7,298.16/x
  3. Step 3: Cross multiply
    8,193.25x = 12,345.68 × 7,298.16
  4. Step 4: Simplify right side
    8,193.25x = 90,100,747.95
  5. Step 5: Solve for x
    x = 90,100,747.95/8,193.25
  6. Step 6: Final answer
    x = 10,996.95

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.