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Finding the Fourth Proportional to 5,630.05, 7,769.43 and 3,146.05

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Solution

The fourth proportional to 5,630.05, 7,769.43 and 3,146.05 is: 4,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.05 : 7,769.43 = 3,146.05 : x
  2. Step 2: Convert to fraction form
    5,630.05/7,769.43 = 3,146.05/x
  3. Step 3: Cross multiply
    5,630.05x = 7,769.43 × 3,146.05
  4. Step 4: Simplify right side
    5,630.05x = 24,443,015.25
  5. Step 5: Solve for x
    x = 24,443,015.25/5,630.05
  6. Step 6: Final answer
    x = 4,341.53

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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.