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Finding the Fourth Proportional to 7,954.16, 10,976.99 and 4,766.40

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Solution

The fourth proportional to 7,954.16, 10,976.99 and 4,766.40 is: 6,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.16 : 10,976.99 = 4,766.40 : x
  2. Step 2: Convert to fraction form
    7,954.16/10,976.99 = 4,766.40/x
  3. Step 3: Cross multiply
    7,954.16x = 10,976.99 × 4,766.40
  4. Step 4: Simplify right side
    7,954.16x = 52,320,701.30
  5. Step 5: Solve for x
    x = 52,320,701.30/7,954.16
  6. Step 6: Final answer
    x = 6,577.78

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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.