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Finding the Fourth Proportional to 9,082.76, 13,557.85 and 7,792.52

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Solution

The fourth proportional to 9,082.76, 13,557.85 and 7,792.52 is: 11,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.76 : 13,557.85 = 7,792.52 : x
  2. Step 2: Convert to fraction form
    9,082.76/13,557.85 = 7,792.52/x
  3. Step 3: Cross multiply
    9,082.76x = 13,557.85 × 7,792.52
  4. Step 4: Simplify right side
    9,082.76x = 105,649,817.28
  5. Step 5: Solve for x
    x = 105,649,817.28/9,082.76
  6. Step 6: Final answer
    x = 11,631.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.