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Finding the Fourth Proportional to 9,994.64, 13,850.93 and 9,853.70

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Solution

The fourth proportional to 9,994.64, 13,850.93 and 9,853.70 is: 13,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.64 : 13,850.93 = 9,853.70 : x
  2. Step 2: Convert to fraction form
    9,994.64/13,850.93 = 9,853.70/x
  3. Step 3: Cross multiply
    9,994.64x = 13,850.93 × 9,853.70
  4. Step 4: Simplify right side
    9,994.64x = 136,482,790.42
  5. Step 5: Solve for x
    x = 136,482,790.42/9,994.64
  6. Step 6: Final answer
    x = 13,655.61

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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 (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.