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Finding the Fourth Proportional to 12,862.80, 19,294.20 and 5,465.40

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Solution

The fourth proportional to 12,862.80, 19,294.20 and 5,465.40 is: 8,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.80 : 19,294.20 = 5,465.40 : x
  2. Step 2: Convert to fraction form
    12,862.80/19,294.20 = 5,465.40/x
  3. Step 3: Cross multiply
    12,862.80x = 19,294.20 × 5,465.40
  4. Step 4: Simplify right side
    12,862.80x = 105,450,520.68
  5. Step 5: Solve for x
    x = 105,450,520.68/12,862.80
  6. Step 6: Final answer
    x = 8,198.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.