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Finding the Fourth Proportional to 12,877.80, 19,322.10 and 9,619.17

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Solution

The fourth proportional to 12,877.80, 19,322.10 and 9,619.17 is: 14,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.80 : 19,322.10 = 9,619.17 : x
  2. Step 2: Convert to fraction form
    12,877.80/19,322.10 = 9,619.17/x
  3. Step 3: Cross multiply
    12,877.80x = 19,322.10 × 9,619.17
  4. Step 4: Simplify right side
    12,877.80x = 185,862,564.66
  5. Step 5: Solve for x
    x = 185,862,564.66/12,877.80
  6. Step 6: Final answer
    x = 14,432.79

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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.