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Finding the Fourth Proportional to 13,407.72, 18,503.52 and 7,743.52

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Solution

The fourth proportional to 13,407.72, 18,503.52 and 7,743.52 is: 10,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.72 : 18,503.52 = 7,743.52 : x
  2. Step 2: Convert to fraction form
    13,407.72/18,503.52 = 7,743.52/x
  3. Step 3: Cross multiply
    13,407.72x = 18,503.52 × 7,743.52
  4. Step 4: Simplify right side
    13,407.72x = 143,282,377.19
  5. Step 5: Solve for x
    x = 143,282,377.19/13,407.72
  6. Step 6: Final answer
    x = 10,686.56

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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.