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Finding the Fourth Proportional to 12,948.94, 17,863.99 and 8,464.92

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Solution

The fourth proportional to 12,948.94, 17,863.99 and 8,464.92 is: 11,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.94 : 17,863.99 = 8,464.92 : x
  2. Step 2: Convert to fraction form
    12,948.94/17,863.99 = 8,464.92/x
  3. Step 3: Cross multiply
    12,948.94x = 17,863.99 × 8,464.92
  4. Step 4: Simplify right side
    12,948.94x = 151,217,246.23
  5. Step 5: Solve for x
    x = 151,217,246.23/12,948.94
  6. Step 6: Final answer
    x = 11,677.96

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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.