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Finding the Fourth Proportional to 12,324.71, 17,007.13 and 7,018.49

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Solution

The fourth proportional to 12,324.71, 17,007.13 and 7,018.49 is: 9,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.71 : 17,007.13 = 7,018.49 : x
  2. Step 2: Convert to fraction form
    12,324.71/17,007.13 = 7,018.49/x
  3. Step 3: Cross multiply
    12,324.71x = 17,007.13 × 7,018.49
  4. Step 4: Simplify right side
    12,324.71x = 119,364,371.83
  5. Step 5: Solve for x
    x = 119,364,371.83/12,324.71
  6. Step 6: Final answer
    x = 9,684.96

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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.