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Finding the Fourth Proportional to 5,413, 7,469.76 and 3,055.36

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Solution

The fourth proportional to 5,413, 7,469.76 and 3,055.36 is: 4,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 7,469.76 = 3,055.36 : x
  2. Step 2: Convert to fraction form
    5,413/7,469.76 = 3,055.36/x
  3. Step 3: Cross multiply
    5,413x = 7,469.76 × 3,055.36
  4. Step 4: Simplify right side
    5,413x = 22,822,805.91
  5. Step 5: Solve for x
    x = 22,822,805.91/5,413
  6. Step 6: Final answer
    x = 4,216.30

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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.