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Finding the Fourth Proportional to 7,242.96, 10,866.08 and 3,083.12

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Solution

The fourth proportional to 7,242.96, 10,866.08 and 3,083.12 is: 4,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.96 : 10,866.08 = 3,083.12 : x
  2. Step 2: Convert to fraction form
    7,242.96/10,866.08 = 3,083.12/x
  3. Step 3: Cross multiply
    7,242.96x = 10,866.08 × 3,083.12
  4. Step 4: Simplify right side
    7,242.96x = 33,501,428.57
  5. Step 5: Solve for x
    x = 33,501,428.57/7,242.96
  6. Step 6: Final answer
    x = 4,625.38

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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.