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Finding the Fourth Proportional to 10,468.84, 14,432.56 and 8,351.56

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Solution

The fourth proportional to 10,468.84, 14,432.56 and 8,351.56 is: 11,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.84 : 14,432.56 = 8,351.56 : x
  2. Step 2: Convert to fraction form
    10,468.84/14,432.56 = 8,351.56/x
  3. Step 3: Cross multiply
    10,468.84x = 14,432.56 × 8,351.56
  4. Step 4: Simplify right side
    10,468.84x = 120,534,390.79
  5. Step 5: Solve for x
    x = 120,534,390.79/10,468.84
  6. Step 6: Final answer
    x = 11,513.63

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1.5x scale

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.