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Finding the Fourth Proportional to 8,243, 11,374.74 and 4,705.52

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Solution

The fourth proportional to 8,243, 11,374.74 and 4,705.52 is: 6,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 11,374.74 = 4,705.52 : x
  2. Step 2: Convert to fraction form
    8,243/11,374.74 = 4,705.52/x
  3. Step 3: Cross multiply
    8,243x = 11,374.74 × 4,705.52
  4. Step 4: Simplify right side
    8,243x = 53,524,066.56
  5. Step 5: Solve for x
    x = 53,524,066.56/8,243
  6. Step 6: Final answer
    x = 6,493.28

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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.