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Finding the Fourth Proportional to 4,616.19, 6,927.32 and 2,151.16

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Solution

The fourth proportional to 4,616.19, 6,927.32 and 2,151.16 is: 3,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.19 : 6,927.32 = 2,151.16 : x
  2. Step 2: Convert to fraction form
    4,616.19/6,927.32 = 2,151.16/x
  3. Step 3: Cross multiply
    4,616.19x = 6,927.32 × 2,151.16
  4. Step 4: Simplify right side
    4,616.19x = 14,901,761.75
  5. Step 5: Solve for x
    x = 14,901,761.75/4,616.19
  6. Step 6: Final answer
    x = 3,228.15

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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.