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Finding the Fourth Proportional to 8,252.72, 11,393.93 and 5,734.02

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Solution

The fourth proportional to 8,252.72, 11,393.93 and 5,734.02 is: 7,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.72 : 11,393.93 = 5,734.02 : x
  2. Step 2: Convert to fraction form
    8,252.72/11,393.93 = 5,734.02/x
  3. Step 3: Cross multiply
    8,252.72x = 11,393.93 × 5,734.02
  4. Step 4: Simplify right side
    8,252.72x = 65,333,022.50
  5. Step 5: Solve for x
    x = 65,333,022.50/8,252.72
  6. Step 6: Final answer
    x = 7,916.54

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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.