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Finding the Fourth Proportional to 6,299.70, 9,421.07 and 4,719.62

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Solution

The fourth proportional to 6,299.70, 9,421.07 and 4,719.62 is: 7,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.70 : 9,421.07 = 4,719.62 : x
  2. Step 2: Convert to fraction form
    6,299.70/9,421.07 = 4,719.62/x
  3. Step 3: Cross multiply
    6,299.70x = 9,421.07 × 4,719.62
  4. Step 4: Simplify right side
    6,299.70x = 44,463,799.69
  5. Step 5: Solve for x
    x = 44,463,799.69/6,299.70
  6. Step 6: Final answer
    x = 7,058.08

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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.