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Finding the Fourth Proportional to 10,513.44, 14,508.44 and 5,797.76

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Solution

The fourth proportional to 10,513.44, 14,508.44 and 5,797.76 is: 8,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.44 : 14,508.44 = 5,797.76 : x
  2. Step 2: Convert to fraction form
    10,513.44/14,508.44 = 5,797.76/x
  3. Step 3: Cross multiply
    10,513.44x = 14,508.44 × 5,797.76
  4. Step 4: Simplify right side
    10,513.44x = 84,116,453.09
  5. Step 5: Solve for x
    x = 84,116,453.09/10,513.44
  6. Step 6: Final answer
    x = 8,000.85

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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.