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Finding the Fourth Proportional to 6,522.28, 9,783.44 and 4,583.16

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Solution

The fourth proportional to 6,522.28, 9,783.44 and 4,583.16 is: 6,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.28 : 9,783.44 = 4,583.16 : x
  2. Step 2: Convert to fraction form
    6,522.28/9,783.44 = 4,583.16/x
  3. Step 3: Cross multiply
    6,522.28x = 9,783.44 × 4,583.16
  4. Step 4: Simplify right side
    6,522.28x = 44,839,070.87
  5. Step 5: Solve for x
    x = 44,839,070.87/6,522.28
  6. Step 6: Final answer
    x = 6,874.75

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Similar ratio
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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.