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Finding the Fourth Proportional to 10,536.44, 14,540 and 5,820.62

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Solution

The fourth proportional to 10,536.44, 14,540 and 5,820.62 is: 8,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.44 : 14,540 = 5,820.62 : x
  2. Step 2: Convert to fraction form
    10,536.44/14,540 = 5,820.62/x
  3. Step 3: Cross multiply
    10,536.44x = 14,540 × 5,820.62
  4. Step 4: Simplify right side
    10,536.44x = 84,631,814.80
  5. Step 5: Solve for x
    x = 84,631,814.80/10,536.44
  6. Step 6: Final answer
    x = 8,032.30

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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.