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Finding the Fourth Proportional to 15,847.74, 23,762.79 and 6,494.31

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Solution

The fourth proportional to 15,847.74, 23,762.79 and 6,494.31 is: 9,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.74 : 23,762.79 = 6,494.31 : x
  2. Step 2: Convert to fraction form
    15,847.74/23,762.79 = 6,494.31/x
  3. Step 3: Cross multiply
    15,847.74x = 23,762.79 × 6,494.31
  4. Step 4: Simplify right side
    15,847.74x = 154,322,924.72
  5. Step 5: Solve for x
    x = 154,322,924.72/15,847.74
  6. Step 6: Final answer
    x = 9,737.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.