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Finding the Fourth Proportional to 12,000.29, 16,560.72 and 6,696.14

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Solution

The fourth proportional to 12,000.29, 16,560.72 and 6,696.14 is: 9,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.29 : 16,560.72 = 6,696.14 : x
  2. Step 2: Convert to fraction form
    12,000.29/16,560.72 = 6,696.14/x
  3. Step 3: Cross multiply
    12,000.29x = 16,560.72 × 6,696.14
  4. Step 4: Simplify right side
    12,000.29x = 110,892,816.82
  5. Step 5: Solve for x
    x = 110,892,816.82/12,000.29
  6. Step 6: Final answer
    x = 9,240.85

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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.