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Finding the Fourth Proportional to 8,323.80, 12,477.53 and 4,157.57

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Solution

The fourth proportional to 8,323.80, 12,477.53 and 4,157.57 is: 6,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.80 : 12,477.53 = 4,157.57 : x
  2. Step 2: Convert to fraction form
    8,323.80/12,477.53 = 4,157.57/x
  3. Step 3: Cross multiply
    8,323.80x = 12,477.53 × 4,157.57
  4. Step 4: Simplify right side
    8,323.80x = 51,876,121.23
  5. Step 5: Solve for x
    x = 51,876,121.23/8,323.80
  6. Step 6: Final answer
    x = 6,232.26

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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.