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Finding the Fourth Proportional to 34,414.80, 51,616.02 and 9,114.47

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Solution

The fourth proportional to 34,414.80, 51,616.02 and 9,114.47 is: 13,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.80 : 51,616.02 = 9,114.47 : x
  2. Step 2: Convert to fraction form
    34,414.80/51,616.02 = 9,114.47/x
  3. Step 3: Cross multiply
    34,414.80x = 51,616.02 × 9,114.47
  4. Step 4: Simplify right side
    34,414.80x = 470,452,665.81
  5. Step 5: Solve for x
    x = 470,452,665.81/34,414.80
  6. Step 6: Final answer
    x = 13,670.07

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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.