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Finding the Fourth Proportional to 10,775.40, 16,163.10 and 6,397.80

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Solution

The fourth proportional to 10,775.40, 16,163.10 and 6,397.80 is: 9,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.40 : 16,163.10 = 6,397.80 : x
  2. Step 2: Convert to fraction form
    10,775.40/16,163.10 = 6,397.80/x
  3. Step 3: Cross multiply
    10,775.40x = 16,163.10 × 6,397.80
  4. Step 4: Simplify right side
    10,775.40x = 103,408,281.18
  5. Step 5: Solve for x
    x = 103,408,281.18/10,775.40
  6. Step 6: Final answer
    x = 9,596.70

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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.