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Finding the Fourth Proportional to 11,524.71, 15,899.26 and 7,047.03

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Solution

The fourth proportional to 11,524.71, 15,899.26 and 7,047.03 is: 9,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.71 : 15,899.26 = 7,047.03 : x
  2. Step 2: Convert to fraction form
    11,524.71/15,899.26 = 7,047.03/x
  3. Step 3: Cross multiply
    11,524.71x = 15,899.26 × 7,047.03
  4. Step 4: Simplify right side
    11,524.71x = 112,042,526.96
  5. Step 5: Solve for x
    x = 112,042,526.96/11,524.71
  6. Step 6: Final answer
    x = 9,721.94

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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.