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Finding the Fourth Proportional to 10,498.65, 14,484.44 and 6,722.43

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Solution

The fourth proportional to 10,498.65, 14,484.44 and 6,722.43 is: 9,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.65 : 14,484.44 = 6,722.43 : x
  2. Step 2: Convert to fraction form
    10,498.65/14,484.44 = 6,722.43/x
  3. Step 3: Cross multiply
    10,498.65x = 14,484.44 × 6,722.43
  4. Step 4: Simplify right side
    10,498.65x = 97,370,600.38
  5. Step 5: Solve for x
    x = 97,370,600.38/10,498.65
  6. Step 6: Final answer
    x = 9,274.58

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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.