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Finding the Fourth Proportional to 14,904.78, 20,569.11 and 8,191.02

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Solution

The fourth proportional to 14,904.78, 20,569.11 and 8,191.02 is: 11,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.78 : 20,569.11 = 8,191.02 : x
  2. Step 2: Convert to fraction form
    14,904.78/20,569.11 = 8,191.02/x
  3. Step 3: Cross multiply
    14,904.78x = 20,569.11 × 8,191.02
  4. Step 4: Simplify right side
    14,904.78x = 168,481,991.39
  5. Step 5: Solve for x
    x = 168,481,991.39/14,904.78
  6. Step 6: Final answer
    x = 11,303.89

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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.