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Finding the Fourth Proportional to 5,995.64, 8,274 and 3,478.24

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Solution

The fourth proportional to 5,995.64, 8,274 and 3,478.24 is: 4,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.64 : 8,274 = 3,478.24 : x
  2. Step 2: Convert to fraction form
    5,995.64/8,274 = 3,478.24/x
  3. Step 3: Cross multiply
    5,995.64x = 8,274 × 3,478.24
  4. Step 4: Simplify right side
    5,995.64x = 28,778,957.76
  5. Step 5: Solve for x
    x = 28,778,957.76/5,995.64
  6. Step 6: Final answer
    x = 4,799.98

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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.