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Finding the Fourth Proportional to 9,471.34, 14,214.35 and 7,626.97

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Solution

The fourth proportional to 9,471.34, 14,214.35 and 7,626.97 is: 11,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.34 : 14,214.35 = 7,626.97 : x
  2. Step 2: Convert to fraction form
    9,471.34/14,214.35 = 7,626.97/x
  3. Step 3: Cross multiply
    9,471.34x = 14,214.35 × 7,626.97
  4. Step 4: Simplify right side
    9,471.34x = 108,412,421.02
  5. Step 5: Solve for x
    x = 108,412,421.02/9,471.34
  6. Step 6: Final answer
    x = 11,446.37

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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.