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Finding the Fourth Proportional to 16,678.56, 23,005.56 and 10,700.76

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Solution

The fourth proportional to 16,678.56, 23,005.56 and 10,700.76 is: 14,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.56 : 23,005.56 = 10,700.76 : x
  2. Step 2: Convert to fraction form
    16,678.56/23,005.56 = 10,700.76/x
  3. Step 3: Cross multiply
    16,678.56x = 23,005.56 × 10,700.76
  4. Step 4: Simplify right side
    16,678.56x = 246,176,976.23
  5. Step 5: Solve for x
    x = 246,176,976.23/16,678.56
  6. Step 6: Final answer
    x = 14,760.09

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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.