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Finding the Fourth Proportional to 9,684.39, 13,366.62 and 6,146.94

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Solution

The fourth proportional to 9,684.39, 13,366.62 and 6,146.94 is: 8,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.39 : 13,366.62 = 6,146.94 : x
  2. Step 2: Convert to fraction form
    9,684.39/13,366.62 = 6,146.94/x
  3. Step 3: Cross multiply
    9,684.39x = 13,366.62 × 6,146.94
  4. Step 4: Simplify right side
    9,684.39x = 82,163,811.14
  5. Step 5: Solve for x
    x = 82,163,811.14/9,684.39
  6. Step 6: Final answer
    x = 8,484.15

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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.