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Finding the Fourth Proportional to 6,494.64, 9,736.10 and 2,333.67

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Solution

The fourth proportional to 6,494.64, 9,736.10 and 2,333.67 is: 3,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.64 : 9,736.10 = 2,333.67 : x
  2. Step 2: Convert to fraction form
    6,494.64/9,736.10 = 2,333.67/x
  3. Step 3: Cross multiply
    6,494.64x = 9,736.10 × 2,333.67
  4. Step 4: Simplify right side
    6,494.64x = 22,720,844.49
  5. Step 5: Solve for x
    x = 22,720,844.49/6,494.64
  6. Step 6: Final answer
    x = 3,498.40

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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.