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Finding the Fourth Proportional to 8,001.46, 11,037.16 and 5,164.38

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Solution

The fourth proportional to 8,001.46, 11,037.16 and 5,164.38 is: 7,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.46 : 11,037.16 = 5,164.38 : x
  2. Step 2: Convert to fraction form
    8,001.46/11,037.16 = 5,164.38/x
  3. Step 3: Cross multiply
    8,001.46x = 11,037.16 × 5,164.38
  4. Step 4: Simplify right side
    8,001.46x = 57,000,088.36
  5. Step 5: Solve for x
    x = 57,000,088.36/8,001.46
  6. Step 6: Final answer
    x = 7,123.71

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Half 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.