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Finding the Fourth Proportional to 28,270, 42,424.44 and 9,802

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Solution

The fourth proportional to 28,270, 42,424.44 and 9,802 is: 14,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,270 : 42,424.44 = 9,802 : x
  2. Step 2: Convert to fraction form
    28,270/42,424.44 = 9,802/x
  3. Step 3: Cross multiply
    28,270x = 42,424.44 × 9,802
  4. Step 4: Simplify right side
    28,270x = 415,844,360.88
  5. Step 5: Solve for x
    x = 415,844,360.88/28,270
  6. Step 6: Final answer
    x = 14,709.74

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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.