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Finding the Fourth Proportional to 7,602.25, 11,394.01 and 5,399.05

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Solution

The fourth proportional to 7,602.25, 11,394.01 and 5,399.05 is: 8,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.25 : 11,394.01 = 5,399.05 : x
  2. Step 2: Convert to fraction form
    7,602.25/11,394.01 = 5,399.05/x
  3. Step 3: Cross multiply
    7,602.25x = 11,394.01 × 5,399.05
  4. Step 4: Simplify right side
    7,602.25x = 61,516,829.69
  5. Step 5: Solve for x
    x = 61,516,829.69/7,602.25
  6. Step 6: Final answer
    x = 8,091.92

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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.