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Finding the Fourth Proportional to 10,483.48, 14,469.06 and 6,292

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Solution

The fourth proportional to 10,483.48, 14,469.06 and 6,292 is: 8,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.48 : 14,469.06 = 6,292 : x
  2. Step 2: Convert to fraction form
    10,483.48/14,469.06 = 6,292/x
  3. Step 3: Cross multiply
    10,483.48x = 14,469.06 × 6,292
  4. Step 4: Simplify right side
    10,483.48x = 91,039,325.52
  5. Step 5: Solve for x
    x = 91,039,325.52/10,483.48
  6. Step 6: Final answer
    x = 8,684.07

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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.