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Finding the Fourth Proportional to 6,492.69, 9,722.07 and 4,264.52

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Solution

The fourth proportional to 6,492.69, 9,722.07 and 4,264.52 is: 6,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.69 : 9,722.07 = 4,264.52 : x
  2. Step 2: Convert to fraction form
    6,492.69/9,722.07 = 4,264.52/x
  3. Step 3: Cross multiply
    6,492.69x = 9,722.07 × 4,264.52
  4. Step 4: Simplify right side
    6,492.69x = 41,459,913.35
  5. Step 5: Solve for x
    x = 41,459,913.35/6,492.69
  6. Step 6: Final answer
    x = 6,385.63

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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.