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Finding the Fourth Proportional to 14,642.88, 21,947.04 and 7,713.60

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Solution

The fourth proportional to 14,642.88, 21,947.04 and 7,713.60 is: 11,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.88 : 21,947.04 = 7,713.60 : x
  2. Step 2: Convert to fraction form
    14,642.88/21,947.04 = 7,713.60/x
  3. Step 3: Cross multiply
    14,642.88x = 21,947.04 × 7,713.60
  4. Step 4: Simplify right side
    14,642.88x = 169,290,687.74
  5. Step 5: Solve for x
    x = 169,290,687.74/14,642.88
  6. Step 6: Final answer
    x = 11,561.30

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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.