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Finding the Fourth Proportional to 6,497.54, 9,747.15 and 2,113.50

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Solution

The fourth proportional to 6,497.54, 9,747.15 and 2,113.50 is: 3,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.54 : 9,747.15 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    6,497.54/9,747.15 = 2,113.50/x
  3. Step 3: Cross multiply
    6,497.54x = 9,747.15 × 2,113.50
  4. Step 4: Simplify right side
    6,497.54x = 20,600,601.53
  5. Step 5: Solve for x
    x = 20,600,601.53/6,497.54
  6. Step 6: Final answer
    x = 3,170.52

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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.