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Finding the Fourth Proportional to 9,866.86, 13,616.84 and 5,618.14

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Solution

The fourth proportional to 9,866.86, 13,616.84 and 5,618.14 is: 7,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.86 : 13,616.84 = 5,618.14 : x
  2. Step 2: Convert to fraction form
    9,866.86/13,616.84 = 5,618.14/x
  3. Step 3: Cross multiply
    9,866.86x = 13,616.84 × 5,618.14
  4. Step 4: Simplify right side
    9,866.86x = 76,501,313.48
  5. Step 5: Solve for x
    x = 76,501,313.48/9,866.86
  6. Step 6: Final answer
    x = 7,753.36

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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.