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Finding the Fourth Proportional to 9,649.05, 14,482.22 and 8,077.60

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Solution

The fourth proportional to 9,649.05, 14,482.22 and 8,077.60 is: 12,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.05 : 14,482.22 = 8,077.60 : x
  2. Step 2: Convert to fraction form
    9,649.05/14,482.22 = 8,077.60/x
  3. Step 3: Cross multiply
    9,649.05x = 14,482.22 × 8,077.60
  4. Step 4: Simplify right side
    9,649.05x = 116,981,616.48
  5. Step 5: Solve for x
    x = 116,981,616.48/9,649.05
  6. Step 6: Final answer
    x = 12,123.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.