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Finding the Fourth Proportional to 10,290.92, 14,199.98 and 5,813.98

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Solution

The fourth proportional to 10,290.92, 14,199.98 and 5,813.98 is: 8,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.92 : 14,199.98 = 5,813.98 : x
  2. Step 2: Convert to fraction form
    10,290.92/14,199.98 = 5,813.98/x
  3. Step 3: Cross multiply
    10,290.92x = 14,199.98 × 5,813.98
  4. Step 4: Simplify right side
    10,290.92x = 82,558,335.15
  5. Step 5: Solve for x
    x = 82,558,335.15/10,290.92
  6. Step 6: Final answer
    x = 8,022.45

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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.