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Finding the Fourth Proportional to 7,076.05, 10,614.14 and 2,146.09

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Solution

The fourth proportional to 7,076.05, 10,614.14 and 2,146.09 is: 3,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.05 : 10,614.14 = 2,146.09 : x
  2. Step 2: Convert to fraction form
    7,076.05/10,614.14 = 2,146.09/x
  3. Step 3: Cross multiply
    7,076.05x = 10,614.14 × 2,146.09
  4. Step 4: Simplify right side
    7,076.05x = 22,778,899.71
  5. Step 5: Solve for x
    x = 22,778,899.71/7,076.05
  6. Step 6: Final answer
    x = 3,219.15

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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.