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Finding the Fourth Proportional to 12,323.16, 18,458.82 and 5,754.60

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Solution

The fourth proportional to 12,323.16, 18,458.82 and 5,754.60 is: 8,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.16 : 18,458.82 = 5,754.60 : x
  2. Step 2: Convert to fraction form
    12,323.16/18,458.82 = 5,754.60/x
  3. Step 3: Cross multiply
    12,323.16x = 18,458.82 × 5,754.60
  4. Step 4: Simplify right side
    12,323.16x = 106,223,125.57
  5. Step 5: Solve for x
    x = 106,223,125.57/12,323.16
  6. Step 6: Final answer
    x = 8,619.80

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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.