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Finding the Fourth Proportional to 4,927.97, 7,392.47 and 1,640.18

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Solution

The fourth proportional to 4,927.97, 7,392.47 and 1,640.18 is: 2,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.97 : 7,392.47 = 1,640.18 : x
  2. Step 2: Convert to fraction form
    4,927.97/7,392.47 = 1,640.18/x
  3. Step 3: Cross multiply
    4,927.97x = 7,392.47 × 1,640.18
  4. Step 4: Simplify right side
    4,927.97x = 12,124,991.72
  5. Step 5: Solve for x
    x = 12,124,991.72/4,927.97
  6. Step 6: Final answer
    x = 2,460.44

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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.