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Finding the Fourth Proportional to 8,101.30, 11,180.01 and 4,564.30

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Solution

The fourth proportional to 8,101.30, 11,180.01 and 4,564.30 is: 6,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.30 : 11,180.01 = 4,564.30 : x
  2. Step 2: Convert to fraction form
    8,101.30/11,180.01 = 4,564.30/x
  3. Step 3: Cross multiply
    8,101.30x = 11,180.01 × 4,564.30
  4. Step 4: Simplify right side
    8,101.30x = 51,028,919.64
  5. Step 5: Solve for x
    x = 51,028,919.64/8,101.30
  6. Step 6: Final answer
    x = 6,298.86

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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.