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Finding the Fourth Proportional to 35,408.70, 53,113.05 and 10,449.09

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Solution

The fourth proportional to 35,408.70, 53,113.05 and 10,449.09 is: 15,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.70 : 53,113.05 = 10,449.09 : x
  2. Step 2: Convert to fraction form
    35,408.70/53,113.05 = 10,449.09/x
  3. Step 3: Cross multiply
    35,408.70x = 53,113.05 × 10,449.09
  4. Step 4: Simplify right side
    35,408.70x = 554,983,039.62
  5. Step 5: Solve for x
    x = 554,983,039.62/35,408.70
  6. Step 6: Final answer
    x = 15,673.64

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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.