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Finding the Fourth Proportional to 11,497.69, 15,866.67 and 6,462.77

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Solution

The fourth proportional to 11,497.69, 15,866.67 and 6,462.77 is: 8,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.69 : 15,866.67 = 6,462.77 : x
  2. Step 2: Convert to fraction form
    11,497.69/15,866.67 = 6,462.77/x
  3. Step 3: Cross multiply
    11,497.69x = 15,866.67 × 6,462.77
  4. Step 4: Simplify right side
    11,497.69x = 102,542,559.54
  5. Step 5: Solve for x
    x = 102,542,559.54/11,497.69
  6. Step 6: Final answer
    x = 8,918.54

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Half scale
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Double scale
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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.