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Finding the Fourth Proportional to 4,014.54, 6,013.65 and 3,678.54

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Solution

The fourth proportional to 4,014.54, 6,013.65 and 3,678.54 is: 5,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.54 : 6,013.65 = 3,678.54 : x
  2. Step 2: Convert to fraction form
    4,014.54/6,013.65 = 3,678.54/x
  3. Step 3: Cross multiply
    4,014.54x = 6,013.65 × 3,678.54
  4. Step 4: Simplify right side
    4,014.54x = 22,121,452.07
  5. Step 5: Solve for x
    x = 22,121,452.07/4,014.54
  6. Step 6: Final answer
    x = 5,510.33

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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.