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Finding the Fourth Proportional to 13,336.40, 18,400.56 and 7,747.40

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Solution

The fourth proportional to 13,336.40, 18,400.56 and 7,747.40 is: 10,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.40 : 18,400.56 = 7,747.40 : x
  2. Step 2: Convert to fraction form
    13,336.40/18,400.56 = 7,747.40/x
  3. Step 3: Cross multiply
    13,336.40x = 18,400.56 × 7,747.40
  4. Step 4: Simplify right side
    13,336.40x = 142,556,498.54
  5. Step 5: Solve for x
    x = 142,556,498.54/13,336.40
  6. Step 6: Final answer
    x = 10,689.28

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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.