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Finding the Fourth Proportional to 5,236.67, 7,857.65 and 1,950.10

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Solution

The fourth proportional to 5,236.67, 7,857.65 and 1,950.10 is: 2,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.67 : 7,857.65 = 1,950.10 : x
  2. Step 2: Convert to fraction form
    5,236.67/7,857.65 = 1,950.10/x
  3. Step 3: Cross multiply
    5,236.67x = 7,857.65 × 1,950.10
  4. Step 4: Simplify right side
    5,236.67x = 15,323,203.27
  5. Step 5: Solve for x
    x = 15,323,203.27/5,236.67
  6. Step 6: Final answer
    x = 2,926.13

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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.