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Finding the Fourth Proportional to 6,706.40, 10,070.40 and 4,524.80

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Solution

The fourth proportional to 6,706.40, 10,070.40 and 4,524.80 is: 6,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.40 : 10,070.40 = 4,524.80 : x
  2. Step 2: Convert to fraction form
    6,706.40/10,070.40 = 4,524.80/x
  3. Step 3: Cross multiply
    6,706.40x = 10,070.40 × 4,524.80
  4. Step 4: Simplify right side
    6,706.40x = 45,566,545.92
  5. Step 5: Solve for x
    x = 45,566,545.92/6,706.40
  6. Step 6: Final answer
    x = 6,794.49

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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.