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Finding the Fourth Proportional to 10,701.84, 16,056 and 4,464.84

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Solution

The fourth proportional to 10,701.84, 16,056 and 4,464.84 is: 6,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.84 : 16,056 = 4,464.84 : x
  2. Step 2: Convert to fraction form
    10,701.84/16,056 = 4,464.84/x
  3. Step 3: Cross multiply
    10,701.84x = 16,056 × 4,464.84
  4. Step 4: Simplify right side
    10,701.84x = 71,687,471.04
  5. Step 5: Solve for x
    x = 71,687,471.04/10,701.84
  6. Step 6: Final answer
    x = 6,698.61

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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.