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Finding the Fourth Proportional to 9,896.57, 13,657.17 and 5,420.31

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Solution

The fourth proportional to 9,896.57, 13,657.17 and 5,420.31 is: 7,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.57 : 13,657.17 = 5,420.31 : x
  2. Step 2: Convert to fraction form
    9,896.57/13,657.17 = 5,420.31/x
  3. Step 3: Cross multiply
    9,896.57x = 13,657.17 × 5,420.31
  4. Step 4: Simplify right side
    9,896.57x = 74,026,095.12
  5. Step 5: Solve for x
    x = 74,026,095.12/9,896.57
  6. Step 6: Final answer
    x = 7,479.97

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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.