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Finding the Fourth Proportional to 16,141.78, 22,279.88 and 9,070.48

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Solution

The fourth proportional to 16,141.78, 22,279.88 and 9,070.48 is: 12,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.78 : 22,279.88 = 9,070.48 : x
  2. Step 2: Convert to fraction form
    16,141.78/22,279.88 = 9,070.48/x
  3. Step 3: Cross multiply
    16,141.78x = 22,279.88 × 9,070.48
  4. Step 4: Simplify right side
    16,141.78x = 202,089,205.94
  5. Step 5: Solve for x
    x = 202,089,205.94/16,141.78
  6. Step 6: Final answer
    x = 12,519.64

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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.