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Finding the Fourth Proportional to 12,648.51, 17,454.49 and 6,983.13

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Solution

The fourth proportional to 12,648.51, 17,454.49 and 6,983.13 is: 9,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.51 : 17,454.49 = 6,983.13 : x
  2. Step 2: Convert to fraction form
    12,648.51/17,454.49 = 6,983.13/x
  3. Step 3: Cross multiply
    12,648.51x = 17,454.49 × 6,983.13
  4. Step 4: Simplify right side
    12,648.51x = 121,887,020.75
  5. Step 5: Solve for x
    x = 121,887,020.75/12,648.51
  6. Step 6: Final answer
    x = 9,636.47

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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.