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Finding the Fourth Proportional to 10,786.03, 14,886.20 and 6,538.79

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Solution

The fourth proportional to 10,786.03, 14,886.20 and 6,538.79 is: 9,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.03 : 14,886.20 = 6,538.79 : x
  2. Step 2: Convert to fraction form
    10,786.03/14,886.20 = 6,538.79/x
  3. Step 3: Cross multiply
    10,786.03x = 14,886.20 × 6,538.79
  4. Step 4: Simplify right side
    10,786.03x = 97,337,735.70
  5. Step 5: Solve for x
    x = 97,337,735.70/10,786.03
  6. Step 6: Final answer
    x = 9,024.43

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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.