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Finding the Fourth Proportional to 6,264.60, 9,396.90 and 2,564.22

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Solution

The fourth proportional to 6,264.60, 9,396.90 and 2,564.22 is: 3,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.60 : 9,396.90 = 2,564.22 : x
  2. Step 2: Convert to fraction form
    6,264.60/9,396.90 = 2,564.22/x
  3. Step 3: Cross multiply
    6,264.60x = 9,396.90 × 2,564.22
  4. Step 4: Simplify right side
    6,264.60x = 24,095,718.92
  5. Step 5: Solve for x
    x = 24,095,718.92/6,264.60
  6. Step 6: Final answer
    x = 3,846.33

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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.