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Finding the Fourth Proportional to 9,082.60, 13,607.10 and 5,175.40

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Solution

The fourth proportional to 9,082.60, 13,607.10 and 5,175.40 is: 7,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.60 : 13,607.10 = 5,175.40 : x
  2. Step 2: Convert to fraction form
    9,082.60/13,607.10 = 5,175.40/x
  3. Step 3: Cross multiply
    9,082.60x = 13,607.10 × 5,175.40
  4. Step 4: Simplify right side
    9,082.60x = 70,422,185.34
  5. Step 5: Solve for x
    x = 70,422,185.34/9,082.60
  6. Step 6: Final answer
    x = 7,753.53

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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.