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Finding the Fourth Proportional to 10,429.44, 14,392.84 and 5,713.44

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Solution

The fourth proportional to 10,429.44, 14,392.84 and 5,713.44 is: 7,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.44 : 14,392.84 = 5,713.44 : x
  2. Step 2: Convert to fraction form
    10,429.44/14,392.84 = 5,713.44/x
  3. Step 3: Cross multiply
    10,429.44x = 14,392.84 × 5,713.44
  4. Step 4: Simplify right side
    10,429.44x = 82,232,627.77
  5. Step 5: Solve for x
    x = 82,232,627.77/10,429.44
  6. Step 6: Final answer
    x = 7,884.66

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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.