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Finding the Fourth Proportional to 8,317, 11,474.02 and 5,487.54

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Solution

The fourth proportional to 8,317, 11,474.02 and 5,487.54 is: 7,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 11,474.02 = 5,487.54 : x
  2. Step 2: Convert to fraction form
    8,317/11,474.02 = 5,487.54/x
  3. Step 3: Cross multiply
    8,317x = 11,474.02 × 5,487.54
  4. Step 4: Simplify right side
    8,317x = 62,964,143.71
  5. Step 5: Solve for x
    x = 62,964,143.71/8,317
  6. Step 6: Final answer
    x = 7,570.54

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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.