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Finding the Fourth Proportional to 14,559.24, 20,091 and 8,271.48

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Solution

The fourth proportional to 14,559.24, 20,091 and 8,271.48 is: 11,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.24 : 20,091 = 8,271.48 : x
  2. Step 2: Convert to fraction form
    14,559.24/20,091 = 8,271.48/x
  3. Step 3: Cross multiply
    14,559.24x = 20,091 × 8,271.48
  4. Step 4: Simplify right side
    14,559.24x = 166,182,304.68
  5. Step 5: Solve for x
    x = 166,182,304.68/14,559.24
  6. Step 6: Final answer
    x = 11,414.22

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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.