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Finding the Fourth Proportional to 14,564.58, 20,097.48 and 8,191.03

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Solution

The fourth proportional to 14,564.58, 20,097.48 and 8,191.03 is: 11,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.58 : 20,097.48 = 8,191.03 : x
  2. Step 2: Convert to fraction form
    14,564.58/20,097.48 = 8,191.03/x
  3. Step 3: Cross multiply
    14,564.58x = 20,097.48 × 8,191.03
  4. Step 4: Simplify right side
    14,564.58x = 164,619,016.94
  5. Step 5: Solve for x
    x = 164,619,016.94/14,564.58
  6. Step 6: Final answer
    x = 11,302.70

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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.