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Finding the Fourth Proportional to 11,706.92, 16,154.72 and 6,670.98

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Solution

The fourth proportional to 11,706.92, 16,154.72 and 6,670.98 is: 9,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.92 : 16,154.72 = 6,670.98 : x
  2. Step 2: Convert to fraction form
    11,706.92/16,154.72 = 6,670.98/x
  3. Step 3: Cross multiply
    11,706.92x = 16,154.72 × 6,670.98
  4. Step 4: Simplify right side
    11,706.92x = 107,767,814.03
  5. Step 5: Solve for x
    x = 107,767,814.03/11,706.92
  6. Step 6: Final answer
    x = 9,205.48

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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.