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Finding the Fourth Proportional to 5,225.68, 7,847.64 and 4,505.68

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Solution

The fourth proportional to 5,225.68, 7,847.64 and 4,505.68 is: 6,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.68 : 7,847.64 = 4,505.68 : x
  2. Step 2: Convert to fraction form
    5,225.68/7,847.64 = 4,505.68/x
  3. Step 3: Cross multiply
    5,225.68x = 7,847.64 × 4,505.68
  4. Step 4: Simplify right side
    5,225.68x = 35,358,954.60
  5. Step 5: Solve for x
    x = 35,358,954.60/5,225.68
  6. Step 6: Final answer
    x = 6,766.38

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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.