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Finding the Fourth Proportional to 6,522.08, 9,770.02 and 3,007.16

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Solution

The fourth proportional to 6,522.08, 9,770.02 and 3,007.16 is: 4,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.08 : 9,770.02 = 3,007.16 : x
  2. Step 2: Convert to fraction form
    6,522.08/9,770.02 = 3,007.16/x
  3. Step 3: Cross multiply
    6,522.08x = 9,770.02 × 3,007.16
  4. Step 4: Simplify right side
    6,522.08x = 29,380,013.34
  5. Step 5: Solve for x
    x = 29,380,013.34/6,522.08
  6. Step 6: Final answer
    x = 4,504.70

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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.