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Finding the Fourth Proportional to 9,671.66, 13,339.85 and 6,083.16

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Solution

The fourth proportional to 9,671.66, 13,339.85 and 6,083.16 is: 8,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.66 : 13,339.85 = 6,083.16 : x
  2. Step 2: Convert to fraction form
    9,671.66/13,339.85 = 6,083.16/x
  3. Step 3: Cross multiply
    9,671.66x = 13,339.85 × 6,083.16
  4. Step 4: Simplify right side
    9,671.66x = 81,148,441.93
  5. Step 5: Solve for x
    x = 81,148,441.93/9,671.66
  6. Step 6: Final answer
    x = 8,390.33

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Half 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.