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Finding the Fourth Proportional to 6,568.95, 9,855.76 and 4,100.92

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Solution

The fourth proportional to 6,568.95, 9,855.76 and 4,100.92 is: 6,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.95 : 9,855.76 = 4,100.92 : x
  2. Step 2: Convert to fraction form
    6,568.95/9,855.76 = 4,100.92/x
  3. Step 3: Cross multiply
    6,568.95x = 9,855.76 × 4,100.92
  4. Step 4: Simplify right side
    6,568.95x = 40,417,683.30
  5. Step 5: Solve for x
    x = 40,417,683.30/6,568.95
  6. Step 6: Final answer
    x = 6,152.84

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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.