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Finding the Fourth Proportional to 9,693.99, 13,374.30 and 6,338.77

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Solution

The fourth proportional to 9,693.99, 13,374.30 and 6,338.77 is: 8,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.99 : 13,374.30 = 6,338.77 : x
  2. Step 2: Convert to fraction form
    9,693.99/13,374.30 = 6,338.77/x
  3. Step 3: Cross multiply
    9,693.99x = 13,374.30 × 6,338.77
  4. Step 4: Simplify right side
    9,693.99x = 84,776,513.05
  5. Step 5: Solve for x
    x = 84,776,513.05/9,693.99
  6. Step 6: Final answer
    x = 8,745.27

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Half scale
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Similar ratio
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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.