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Finding the Fourth Proportional to 10,449.93, 15,676.94 and 9,404.26

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Solution

The fourth proportional to 10,449.93, 15,676.94 and 9,404.26 is: 14,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.93 : 15,676.94 = 9,404.26 : x
  2. Step 2: Convert to fraction form
    10,449.93/15,676.94 = 9,404.26/x
  3. Step 3: Cross multiply
    10,449.93x = 15,676.94 × 9,404.26
  4. Step 4: Simplify right side
    10,449.93x = 147,430,019.76
  5. Step 5: Solve for x
    x = 147,430,019.76/10,449.93
  6. Step 6: Final answer
    x = 14,108.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.