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Finding the Fourth Proportional to 10,535.70, 14,538.88 and 5,819.88

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Solution

The fourth proportional to 10,535.70, 14,538.88 and 5,819.88 is: 8,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.70 : 14,538.88 = 5,819.88 : x
  2. Step 2: Convert to fraction form
    10,535.70/14,538.88 = 5,819.88/x
  3. Step 3: Cross multiply
    10,535.70x = 14,538.88 × 5,819.88
  4. Step 4: Simplify right side
    10,535.70x = 84,614,536.93
  5. Step 5: Solve for x
    x = 84,614,536.93/10,535.70
  6. Step 6: Final answer
    x = 8,031.22

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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.