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Finding the Fourth Proportional to 10,460.88, 15,676.20 and 5,834.16

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Solution

The fourth proportional to 10,460.88, 15,676.20 and 5,834.16 is: 8,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.88 : 15,676.20 = 5,834.16 : x
  2. Step 2: Convert to fraction form
    10,460.88/15,676.20 = 5,834.16/x
  3. Step 3: Cross multiply
    10,460.88x = 15,676.20 × 5,834.16
  4. Step 4: Simplify right side
    10,460.88x = 91,457,458.99
  5. Step 5: Solve for x
    x = 91,457,458.99/10,460.88
  6. Step 6: Final answer
    x = 8,742.81

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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.