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Finding the Fourth Proportional to 9,971.72, 14,956.38 and 5,301.26

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Solution

The fourth proportional to 9,971.72, 14,956.38 and 5,301.26 is: 7,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.72 : 14,956.38 = 5,301.26 : x
  2. Step 2: Convert to fraction form
    9,971.72/14,956.38 = 5,301.26/x
  3. Step 3: Cross multiply
    9,971.72x = 14,956.38 × 5,301.26
  4. Step 4: Simplify right side
    9,971.72x = 79,287,659.04
  5. Step 5: Solve for x
    x = 79,287,659.04/9,971.72
  6. Step 6: Final answer
    x = 7,951.25

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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.