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Finding the Fourth Proportional to 4,914.92, 6,780.18 and 3,024.92

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Solution

The fourth proportional to 4,914.92, 6,780.18 and 3,024.92 is: 4,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.92 : 6,780.18 = 3,024.92 : x
  2. Step 2: Convert to fraction form
    4,914.92/6,780.18 = 3,024.92/x
  3. Step 3: Cross multiply
    4,914.92x = 6,780.18 × 3,024.92
  4. Step 4: Simplify right side
    4,914.92x = 20,509,502.09
  5. Step 5: Solve for x
    x = 20,509,502.09/4,914.92
  6. Step 6: Final answer
    x = 4,172.91

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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.