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Finding the Fourth Proportional to 4,971.77, 7,493.40 and 4,286.70

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Solution

The fourth proportional to 4,971.77, 7,493.40 and 4,286.70 is: 6,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.77 : 7,493.40 = 4,286.70 : x
  2. Step 2: Convert to fraction form
    4,971.77/7,493.40 = 4,286.70/x
  3. Step 3: Cross multiply
    4,971.77x = 7,493.40 × 4,286.70
  4. Step 4: Simplify right side
    4,971.77x = 32,121,957.78
  5. Step 5: Solve for x
    x = 32,121,957.78/4,971.77
  6. Step 6: Final answer
    x = 6,460.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.