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Finding the Fourth Proportional to 12,809.20, 17,678.06 and 7,508.47

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Solution

The fourth proportional to 12,809.20, 17,678.06 and 7,508.47 is: 10,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.20 : 17,678.06 = 7,508.47 : x
  2. Step 2: Convert to fraction form
    12,809.20/17,678.06 = 7,508.47/x
  3. Step 3: Cross multiply
    12,809.20x = 17,678.06 × 7,508.47
  4. Step 4: Simplify right side
    12,809.20x = 132,735,183.17
  5. Step 5: Solve for x
    x = 132,735,183.17/12,809.20
  6. Step 6: Final answer
    x = 10,362.49

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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.