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Finding the Fourth Proportional to 8,151.64, 12,229.32 and 2,957.51

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Solution

The fourth proportional to 8,151.64, 12,229.32 and 2,957.51 is: 4,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.64 : 12,229.32 = 2,957.51 : x
  2. Step 2: Convert to fraction form
    8,151.64/12,229.32 = 2,957.51/x
  3. Step 3: Cross multiply
    8,151.64x = 12,229.32 × 2,957.51
  4. Step 4: Simplify right side
    8,151.64x = 36,168,336.19
  5. Step 5: Solve for x
    x = 36,168,336.19/8,151.64
  6. Step 6: Final answer
    x = 4,436.94

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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.