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Finding the Fourth Proportional to 12,865.80, 19,285.12 and 6,282.96

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Solution

The fourth proportional to 12,865.80, 19,285.12 and 6,282.96 is: 9,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.80 : 19,285.12 = 6,282.96 : x
  2. Step 2: Convert to fraction form
    12,865.80/19,285.12 = 6,282.96/x
  3. Step 3: Cross multiply
    12,865.80x = 19,285.12 × 6,282.96
  4. Step 4: Simplify right side
    12,865.80x = 121,167,637.56
  5. Step 5: Solve for x
    x = 121,167,637.56/12,865.80
  6. Step 6: Final answer
    x = 9,417.81

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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.