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Finding the Fourth Proportional to 8,583.40, 12,896.70 and 5,464.90

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Solution

The fourth proportional to 8,583.40, 12,896.70 and 5,464.90 is: 8,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.40 : 12,896.70 = 5,464.90 : x
  2. Step 2: Convert to fraction form
    8,583.40/12,896.70 = 5,464.90/x
  3. Step 3: Cross multiply
    8,583.40x = 12,896.70 × 5,464.90
  4. Step 4: Simplify right side
    8,583.40x = 70,479,175.83
  5. Step 5: Solve for x
    x = 70,479,175.83/8,583.40
  6. Step 6: Final answer
    x = 8,211.10

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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.