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Finding the Fourth Proportional to 6,084.64, 9,082.94 and 5,346.53

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Solution

The fourth proportional to 6,084.64, 9,082.94 and 5,346.53 is: 7,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.64 : 9,082.94 = 5,346.53 : x
  2. Step 2: Convert to fraction form
    6,084.64/9,082.94 = 5,346.53/x
  3. Step 3: Cross multiply
    6,084.64x = 9,082.94 × 5,346.53
  4. Step 4: Simplify right side
    6,084.64x = 48,562,179.15
  5. Step 5: Solve for x
    x = 48,562,179.15/6,084.64
  6. Step 6: Final answer
    x = 7,981.11

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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.