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Finding the Fourth Proportional to 10,466.10, 14,439.06 and 6,489

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Solution

The fourth proportional to 10,466.10, 14,439.06 and 6,489 is: 8,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.10 : 14,439.06 = 6,489 : x
  2. Step 2: Convert to fraction form
    10,466.10/14,439.06 = 6,489/x
  3. Step 3: Cross multiply
    10,466.10x = 14,439.06 × 6,489
  4. Step 4: Simplify right side
    10,466.10x = 93,695,060.34
  5. Step 5: Solve for x
    x = 93,695,060.34/10,466.10
  6. Step 6: Final answer
    x = 8,952.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.