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Finding the Fourth Proportional to 6,098.93, 8,416.08 and 3,581.15

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Solution

The fourth proportional to 6,098.93, 8,416.08 and 3,581.15 is: 4,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.93 : 8,416.08 = 3,581.15 : x
  2. Step 2: Convert to fraction form
    6,098.93/8,416.08 = 3,581.15/x
  3. Step 3: Cross multiply
    6,098.93x = 8,416.08 × 3,581.15
  4. Step 4: Simplify right side
    6,098.93x = 30,139,202.81
  5. Step 5: Solve for x
    x = 30,139,202.81/6,098.93
  6. Step 6: Final answer
    x = 4,941.72

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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.