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Finding the Fourth Proportional to 7,327, 10,112.56 and 7,083.96

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Solution

The fourth proportional to 7,327, 10,112.56 and 7,083.96 is: 9,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327 : 10,112.56 = 7,083.96 : x
  2. Step 2: Convert to fraction form
    7,327/10,112.56 = 7,083.96/x
  3. Step 3: Cross multiply
    7,327x = 10,112.56 × 7,083.96
  4. Step 4: Simplify right side
    7,327x = 71,636,970.54
  5. Step 5: Solve for x
    x = 71,636,970.54/7,327
  6. Step 6: Final answer
    x = 9,777.12

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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.