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Finding the Fourth Proportional to 6,346.60, 9,522.06 and 5,733.16

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Solution

The fourth proportional to 6,346.60, 9,522.06 and 5,733.16 is: 8,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.60 : 9,522.06 = 5,733.16 : x
  2. Step 2: Convert to fraction form
    6,346.60/9,522.06 = 5,733.16/x
  3. Step 3: Cross multiply
    6,346.60x = 9,522.06 × 5,733.16
  4. Step 4: Simplify right side
    6,346.60x = 54,591,493.51
  5. Step 5: Solve for x
    x = 54,591,493.51/6,346.60
  6. Step 6: Final answer
    x = 8,601.69

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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.