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Finding the Fourth Proportional to 10,984, 16,478.07 and 4,410.70

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Solution

The fourth proportional to 10,984, 16,478.07 and 4,410.70 is: 6,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984 : 16,478.07 = 4,410.70 : x
  2. Step 2: Convert to fraction form
    10,984/16,478.07 = 4,410.70/x
  3. Step 3: Cross multiply
    10,984x = 16,478.07 × 4,410.70
  4. Step 4: Simplify right side
    10,984x = 72,679,823.35
  5. Step 5: Solve for x
    x = 72,679,823.35/10,984
  6. Step 6: Final answer
    x = 6,616.88

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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.