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Finding the Fourth Proportional to 8,099.66, 11,177.48 and 4,564.01

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Solution

The fourth proportional to 8,099.66, 11,177.48 and 4,564.01 is: 6,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.66 : 11,177.48 = 4,564.01 : x
  2. Step 2: Convert to fraction form
    8,099.66/11,177.48 = 4,564.01/x
  3. Step 3: Cross multiply
    8,099.66x = 11,177.48 × 4,564.01
  4. Step 4: Simplify right side
    8,099.66x = 51,014,091.14
  5. Step 5: Solve for x
    x = 51,014,091.14/8,099.66
  6. Step 6: Final answer
    x = 6,298.30

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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.