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Finding the Fourth Proportional to 8,969.81, 13,538.97 and 8,969.81

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Solution

The fourth proportional to 8,969.81, 13,538.97 and 8,969.81 is: 13,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.81 : 13,538.97 = 8,969.81 : x
  2. Step 2: Convert to fraction form
    8,969.81/13,538.97 = 8,969.81/x
  3. Step 3: Cross multiply
    8,969.81x = 13,538.97 × 8,969.81
  4. Step 4: Simplify right side
    8,969.81x = 121,441,959.12
  5. Step 5: Solve for x
    x = 121,441,959.12/8,969.81
  6. Step 6: Final answer
    x = 13,538.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.