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Finding the Fourth Proportional to 6,342.93, 9,503.91 and 2,180.70

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Solution

The fourth proportional to 6,342.93, 9,503.91 and 2,180.70 is: 3,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.93 : 9,503.91 = 2,180.70 : x
  2. Step 2: Convert to fraction form
    6,342.93/9,503.91 = 2,180.70/x
  3. Step 3: Cross multiply
    6,342.93x = 9,503.91 × 2,180.70
  4. Step 4: Simplify right side
    6,342.93x = 20,725,176.54
  5. Step 5: Solve for x
    x = 20,725,176.54/6,342.93
  6. Step 6: Final answer
    x = 3,267.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.