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Finding the Fourth Proportional to 14,053.74, 19,392.71 and 8,084.24

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Solution

The fourth proportional to 14,053.74, 19,392.71 and 8,084.24 is: 11,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.74 : 19,392.71 = 8,084.24 : x
  2. Step 2: Convert to fraction form
    14,053.74/19,392.71 = 8,084.24/x
  3. Step 3: Cross multiply
    14,053.74x = 19,392.71 × 8,084.24
  4. Step 4: Simplify right side
    14,053.74x = 156,775,321.89
  5. Step 5: Solve for x
    x = 156,775,321.89/14,053.74
  6. Step 6: Final answer
    x = 11,155.42

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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.