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Finding the Fourth Proportional to 9,412.83, 14,174.28 and 6,964.89

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Solution

The fourth proportional to 9,412.83, 14,174.28 and 6,964.89 is: 10,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.83 : 14,174.28 = 6,964.89 : x
  2. Step 2: Convert to fraction form
    9,412.83/14,174.28 = 6,964.89/x
  3. Step 3: Cross multiply
    9,412.83x = 14,174.28 × 6,964.89
  4. Step 4: Simplify right side
    9,412.83x = 98,722,301.03
  5. Step 5: Solve for x
    x = 98,722,301.03/9,412.83
  6. Step 6: Final answer
    x = 10,488.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.