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Finding the Fourth Proportional to 9,666, 14,484.24 and 6,898.50

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Solution

The fourth proportional to 9,666, 14,484.24 and 6,898.50 is: 10,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 14,484.24 = 6,898.50 : x
  2. Step 2: Convert to fraction form
    9,666/14,484.24 = 6,898.50/x
  3. Step 3: Cross multiply
    9,666x = 14,484.24 × 6,898.50
  4. Step 4: Simplify right side
    9,666x = 99,919,529.64
  5. Step 5: Solve for x
    x = 99,919,529.64/9,666
  6. Step 6: Final answer
    x = 10,337.22

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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.