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Finding the Fourth Proportional to 12,874.80, 19,312.20 and 10,282.80

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Solution

The fourth proportional to 12,874.80, 19,312.20 and 10,282.80 is: 15,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.80 : 19,312.20 = 10,282.80 : x
  2. Step 2: Convert to fraction form
    12,874.80/19,312.20 = 10,282.80/x
  3. Step 3: Cross multiply
    12,874.80x = 19,312.20 × 10,282.80
  4. Step 4: Simplify right side
    12,874.80x = 198,583,490.16
  5. Step 5: Solve for x
    x = 198,583,490.16/12,874.80
  6. Step 6: Final answer
    x = 15,424.20

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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.