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Finding the Fourth Proportional to 6,964.76, 9,609.90 and 4,445.27

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Solution

The fourth proportional to 6,964.76, 9,609.90 and 4,445.27 is: 6,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.76 : 9,609.90 = 4,445.27 : x
  2. Step 2: Convert to fraction form
    6,964.76/9,609.90 = 4,445.27/x
  3. Step 3: Cross multiply
    6,964.76x = 9,609.90 × 4,445.27
  4. Step 4: Simplify right side
    6,964.76x = 42,718,600.17
  5. Step 5: Solve for x
    x = 42,718,600.17/6,964.76
  6. Step 6: Final answer
    x = 6,133.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.