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Finding the Fourth Proportional to 5,407.97, 7,456.24 and 4,513.00

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Solution

The fourth proportional to 5,407.97, 7,456.24 and 4,513.00 is: 6,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.97 : 7,456.24 = 4,513.00 : x
  2. Step 2: Convert to fraction form
    5,407.97/7,456.24 = 4,513.00/x
  3. Step 3: Cross multiply
    5,407.97x = 7,456.24 × 4,513.00
  4. Step 4: Simplify right side
    5,407.97x = 33,649,972.74
  5. Step 5: Solve for x
    x = 33,649,972.74/5,407.97
  6. Step 6: Final answer
    x = 6,222.29

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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.