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Finding the Fourth Proportional to 14,654.16, 21,973.86 and 5,881.80

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Solution

The fourth proportional to 14,654.16, 21,973.86 and 5,881.80 is: 8,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.16 : 21,973.86 = 5,881.80 : x
  2. Step 2: Convert to fraction form
    14,654.16/21,973.86 = 5,881.80/x
  3. Step 3: Cross multiply
    14,654.16x = 21,973.86 × 5,881.80
  4. Step 4: Simplify right side
    14,654.16x = 129,245,849.75
  5. Step 5: Solve for x
    x = 129,245,849.75/14,654.16
  6. Step 6: Final answer
    x = 8,819.74

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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.