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Finding the Fourth Proportional to 10,536.74, 14,540.82 and 5,821.22

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Solution

The fourth proportional to 10,536.74, 14,540.82 and 5,821.22 is: 8,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.74 : 14,540.82 = 5,821.22 : x
  2. Step 2: Convert to fraction form
    10,536.74/14,540.82 = 5,821.22/x
  3. Step 3: Cross multiply
    10,536.74x = 14,540.82 × 5,821.22
  4. Step 4: Simplify right side
    10,536.74x = 84,645,312.20
  5. Step 5: Solve for x
    x = 84,645,312.20/10,536.74
  6. Step 6: Final answer
    x = 8,033.35

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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.