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Finding the Fourth Proportional to 6,214.59, 9,315.12 and 3,096.90

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Solution

The fourth proportional to 6,214.59, 9,315.12 and 3,096.90 is: 4,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.59 : 9,315.12 = 3,096.90 : x
  2. Step 2: Convert to fraction form
    6,214.59/9,315.12 = 3,096.90/x
  3. Step 3: Cross multiply
    6,214.59x = 9,315.12 × 3,096.90
  4. Step 4: Simplify right side
    6,214.59x = 28,847,995.13
  5. Step 5: Solve for x
    x = 28,847,995.13/6,214.59
  6. Step 6: Final answer
    x = 4,641.98

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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.