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Finding the Fourth Proportional to 10,154.50, 14,009.47 and 6,122.21

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Solution

The fourth proportional to 10,154.50, 14,009.47 and 6,122.21 is: 8,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.50 : 14,009.47 = 6,122.21 : x
  2. Step 2: Convert to fraction form
    10,154.50/14,009.47 = 6,122.21/x
  3. Step 3: Cross multiply
    10,154.50x = 14,009.47 × 6,122.21
  4. Step 4: Simplify right side
    10,154.50x = 85,768,831.98
  5. Step 5: Solve for x
    x = 85,768,831.98/10,154.50
  6. Step 6: Final answer
    x = 8,446.39

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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.