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Finding the Fourth Proportional to 5,673.60, 7,824.96 and 4,884.48

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Solution

The fourth proportional to 5,673.60, 7,824.96 and 4,884.48 is: 6,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.60 : 7,824.96 = 4,884.48 : x
  2. Step 2: Convert to fraction form
    5,673.60/7,824.96 = 4,884.48/x
  3. Step 3: Cross multiply
    5,673.60x = 7,824.96 × 4,884.48
  4. Step 4: Simplify right side
    5,673.60x = 38,220,860.62
  5. Step 5: Solve for x
    x = 38,220,860.62/5,673.60
  6. Step 6: Final answer
    x = 6,736.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.