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Finding the Fourth Proportional to 6,568.14, 9,834.57 and 4,098.06

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Solution

The fourth proportional to 6,568.14, 9,834.57 and 4,098.06 is: 6,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.14 : 9,834.57 = 4,098.06 : x
  2. Step 2: Convert to fraction form
    6,568.14/9,834.57 = 4,098.06/x
  3. Step 3: Cross multiply
    6,568.14x = 9,834.57 × 4,098.06
  4. Step 4: Simplify right side
    6,568.14x = 40,302,657.93
  5. Step 5: Solve for x
    x = 40,302,657.93/6,568.14
  6. Step 6: Final answer
    x = 6,136.08

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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.