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Finding the Fourth Proportional to 7,089, 10,633.59 and 2,472

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Solution

The fourth proportional to 7,089, 10,633.59 and 2,472 is: 3,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 10,633.59 = 2,472 : x
  2. Step 2: Convert to fraction form
    7,089/10,633.59 = 2,472/x
  3. Step 3: Cross multiply
    7,089x = 10,633.59 × 2,472
  4. Step 4: Simplify right side
    7,089x = 26,286,234.48
  5. Step 5: Solve for x
    x = 26,286,234.48/7,089
  6. Step 6: Final answer
    x = 3,708.03

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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.