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Finding the Fourth Proportional to 10,046.76, 13,862.76 and 5,796.84

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Solution

The fourth proportional to 10,046.76, 13,862.76 and 5,796.84 is: 7,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.76 : 13,862.76 = 5,796.84 : x
  2. Step 2: Convert to fraction form
    10,046.76/13,862.76 = 5,796.84/x
  3. Step 3: Cross multiply
    10,046.76x = 13,862.76 × 5,796.84
  4. Step 4: Simplify right side
    10,046.76x = 80,360,201.68
  5. Step 5: Solve for x
    x = 80,360,201.68/10,046.76
  6. Step 6: Final answer
    x = 7,998.62

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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.