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Finding the Fourth Proportional to 4,612.54, 6,916.38 and 2,014.06

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Solution

The fourth proportional to 4,612.54, 6,916.38 and 2,014.06 is: 3,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.54 : 6,916.38 = 2,014.06 : x
  2. Step 2: Convert to fraction form
    4,612.54/6,916.38 = 2,014.06/x
  3. Step 3: Cross multiply
    4,612.54x = 6,916.38 × 2,014.06
  4. Step 4: Simplify right side
    4,612.54x = 13,930,004.30
  5. Step 5: Solve for x
    x = 13,930,004.30/4,612.54
  6. Step 6: Final answer
    x = 3,020.03

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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.