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Finding the Fourth Proportional to 5,270.32, 7,860.96 and 4,965.76

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Solution

The fourth proportional to 5,270.32, 7,860.96 and 4,965.76 is: 7,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.32 : 7,860.96 = 4,965.76 : x
  2. Step 2: Convert to fraction form
    5,270.32/7,860.96 = 4,965.76/x
  3. Step 3: Cross multiply
    5,270.32x = 7,860.96 × 4,965.76
  4. Step 4: Simplify right side
    5,270.32x = 39,035,640.73
  5. Step 5: Solve for x
    x = 39,035,640.73/5,270.32
  6. Step 6: Final answer
    x = 7,406.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.