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Finding the Fourth Proportional to 9,758.70, 14,616.18 and 5,855.04

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Solution

The fourth proportional to 9,758.70, 14,616.18 and 5,855.04 is: 8,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.70 : 14,616.18 = 5,855.04 : x
  2. Step 2: Convert to fraction form
    9,758.70/14,616.18 = 5,855.04/x
  3. Step 3: Cross multiply
    9,758.70x = 14,616.18 × 5,855.04
  4. Step 4: Simplify right side
    9,758.70x = 85,578,318.55
  5. Step 5: Solve for x
    x = 85,578,318.55/9,758.70
  6. Step 6: Final answer
    x = 8,769.44

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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.