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Finding the Fourth Proportional to 6,289.46, 8,678.13 and 3,494.90

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Solution

The fourth proportional to 6,289.46, 8,678.13 and 3,494.90 is: 4,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.46 : 8,678.13 = 3,494.90 : x
  2. Step 2: Convert to fraction form
    6,289.46/8,678.13 = 3,494.90/x
  3. Step 3: Cross multiply
    6,289.46x = 8,678.13 × 3,494.90
  4. Step 4: Simplify right side
    6,289.46x = 30,329,196.54
  5. Step 5: Solve for x
    x = 30,329,196.54/6,289.46
  6. Step 6: Final answer
    x = 4,822.23

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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.