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Finding the Fourth Proportional to 10,446.66, 15,630.44 and 6,444.99

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Solution

The fourth proportional to 10,446.66, 15,630.44 and 6,444.99 is: 9,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.66 : 15,630.44 = 6,444.99 : x
  2. Step 2: Convert to fraction form
    10,446.66/15,630.44 = 6,444.99/x
  3. Step 3: Cross multiply
    10,446.66x = 15,630.44 × 6,444.99
  4. Step 4: Simplify right side
    10,446.66x = 100,737,997.27
  5. Step 5: Solve for x
    x = 100,737,997.27/10,446.66
  6. Step 6: Final answer
    x = 9,643.08

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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.