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Finding the Fourth Proportional to 11,538.33, 15,922.95 and 6,502.62

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Solution

The fourth proportional to 11,538.33, 15,922.95 and 6,502.62 is: 8,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.33 : 15,922.95 = 6,502.62 : x
  2. Step 2: Convert to fraction form
    11,538.33/15,922.95 = 6,502.62/x
  3. Step 3: Cross multiply
    11,538.33x = 15,922.95 × 6,502.62
  4. Step 4: Simplify right side
    11,538.33x = 103,540,893.13
  5. Step 5: Solve for x
    x = 103,540,893.13/11,538.33
  6. Step 6: Final answer
    x = 8,973.65

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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.