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Finding the Fourth Proportional to 7,478.58, 10,324.41 and 5,796.21

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Solution

The fourth proportional to 7,478.58, 10,324.41 and 5,796.21 is: 8,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.58 : 10,324.41 = 5,796.21 : x
  2. Step 2: Convert to fraction form
    7,478.58/10,324.41 = 5,796.21/x
  3. Step 3: Cross multiply
    7,478.58x = 10,324.41 × 5,796.21
  4. Step 4: Simplify right side
    7,478.58x = 59,842,448.49
  5. Step 5: Solve for x
    x = 59,842,448.49/7,478.58
  6. Step 6: Final answer
    x = 8,001.85

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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.