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Finding the Fourth Proportional to 7,252.86, 9,998.24 and 5,657.72

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Solution

The fourth proportional to 7,252.86, 9,998.24 and 5,657.72 is: 7,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.86 : 9,998.24 = 5,657.72 : x
  2. Step 2: Convert to fraction form
    7,252.86/9,998.24 = 5,657.72/x
  3. Step 3: Cross multiply
    7,252.86x = 9,998.24 × 5,657.72
  4. Step 4: Simplify right side
    7,252.86x = 56,567,192.42
  5. Step 5: Solve for x
    x = 56,567,192.42/7,252.86
  6. Step 6: Final answer
    x = 7,799.29

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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.