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Finding the Fourth Proportional to 14,255.22, 19,672.14 and 7,882.14

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Solution

The fourth proportional to 14,255.22, 19,672.14 and 7,882.14 is: 10,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.22 : 19,672.14 = 7,882.14 : x
  2. Step 2: Convert to fraction form
    14,255.22/19,672.14 = 7,882.14/x
  3. Step 3: Cross multiply
    14,255.22x = 19,672.14 × 7,882.14
  4. Step 4: Simplify right side
    14,255.22x = 155,058,561.58
  5. Step 5: Solve for x
    x = 155,058,561.58/14,255.22
  6. Step 6: Final answer
    x = 10,877.32

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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.