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Finding the Fourth Proportional to 8,381.51, 11,562.94 and 5,023.25

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Solution

The fourth proportional to 8,381.51, 11,562.94 and 5,023.25 is: 6,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.51 : 11,562.94 = 5,023.25 : x
  2. Step 2: Convert to fraction form
    8,381.51/11,562.94 = 5,023.25/x
  3. Step 3: Cross multiply
    8,381.51x = 11,562.94 × 5,023.25
  4. Step 4: Simplify right side
    8,381.51x = 58,083,538.36
  5. Step 5: Solve for x
    x = 58,083,538.36/8,381.51
  6. Step 6: Final answer
    x = 6,929.96

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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.