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Finding the Fourth Proportional to 10,406, 14,360.52 and 6,429.84

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Solution

The fourth proportional to 10,406, 14,360.52 and 6,429.84 is: 8,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406 : 14,360.52 = 6,429.84 : x
  2. Step 2: Convert to fraction form
    10,406/14,360.52 = 6,429.84/x
  3. Step 3: Cross multiply
    10,406x = 14,360.52 × 6,429.84
  4. Step 4: Simplify right side
    10,406x = 92,335,845.92
  5. Step 5: Solve for x
    x = 92,335,845.92/10,406
  6. Step 6: Final answer
    x = 8,873.33

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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.