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Finding the Fourth Proportional to 15,005.82, 22,503.78 and 7,107.24

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Solution

The fourth proportional to 15,005.82, 22,503.78 and 7,107.24 is: 10,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.82 : 22,503.78 = 7,107.24 : x
  2. Step 2: Convert to fraction form
    15,005.82/22,503.78 = 7,107.24/x
  3. Step 3: Cross multiply
    15,005.82x = 22,503.78 × 7,107.24
  4. Step 4: Simplify right side
    15,005.82x = 159,939,765.37
  5. Step 5: Solve for x
    x = 159,939,765.37/15,005.82
  6. Step 6: Final answer
    x = 10,658.52

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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.