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Finding the Fourth Proportional to 7,602.09, 11,427.65 and 7,049.36

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Solution

The fourth proportional to 7,602.09, 11,427.65 and 7,049.36 is: 10,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.09 : 11,427.65 = 7,049.36 : x
  2. Step 2: Convert to fraction form
    7,602.09/11,427.65 = 7,049.36/x
  3. Step 3: Cross multiply
    7,602.09x = 11,427.65 × 7,049.36
  4. Step 4: Simplify right side
    7,602.09x = 80,557,561.67
  5. Step 5: Solve for x
    x = 80,557,561.67/7,602.09
  6. Step 6: Final answer
    x = 10,596.77

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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.