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Finding the Fourth Proportional to 10,642.64, 15,966.01 and 4,799.25

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Solution

The fourth proportional to 10,642.64, 15,966.01 and 4,799.25 is: 7,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.64 : 15,966.01 = 4,799.25 : x
  2. Step 2: Convert to fraction form
    10,642.64/15,966.01 = 4,799.25/x
  3. Step 3: Cross multiply
    10,642.64x = 15,966.01 × 4,799.25
  4. Step 4: Simplify right side
    10,642.64x = 76,624,879.49
  5. Step 5: Solve for x
    x = 76,624,879.49/10,642.64
  6. Step 6: Final answer
    x = 7,199.80

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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.