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Finding the Fourth Proportional to 12,447.84, 17,177.96 and 6,782.92

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Solution

The fourth proportional to 12,447.84, 17,177.96 and 6,782.92 is: 9,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.84 : 17,177.96 = 6,782.92 : x
  2. Step 2: Convert to fraction form
    12,447.84/17,177.96 = 6,782.92/x
  3. Step 3: Cross multiply
    12,447.84x = 17,177.96 × 6,782.92
  4. Step 4: Simplify right side
    12,447.84x = 116,516,728.44
  5. Step 5: Solve for x
    x = 116,516,728.44/12,447.84
  6. Step 6: Final answer
    x = 9,360.40

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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.