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Finding the Fourth Proportional to 10,224.48, 14,099.76 and 6,492

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Solution

The fourth proportional to 10,224.48, 14,099.76 and 6,492 is: 8,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.48 : 14,099.76 = 6,492 : x
  2. Step 2: Convert to fraction form
    10,224.48/14,099.76 = 6,492/x
  3. Step 3: Cross multiply
    10,224.48x = 14,099.76 × 6,492
  4. Step 4: Simplify right side
    10,224.48x = 91,535,641.92
  5. Step 5: Solve for x
    x = 91,535,641.92/10,224.48
  6. Step 6: Final answer
    x = 8,952.60

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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.