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Finding the Fourth Proportional to 6,512.16, 8,982.72 and 4,274.16

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Solution

The fourth proportional to 6,512.16, 8,982.72 and 4,274.16 is: 5,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.16 : 8,982.72 = 4,274.16 : x
  2. Step 2: Convert to fraction form
    6,512.16/8,982.72 = 4,274.16/x
  3. Step 3: Cross multiply
    6,512.16x = 8,982.72 × 4,274.16
  4. Step 4: Simplify right side
    6,512.16x = 38,393,582.52
  5. Step 5: Solve for x
    x = 38,393,582.52/6,512.16
  6. Step 6: Final answer
    x = 5,895.68

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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.