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Finding the Fourth Proportional to 4,548.48, 6,823.08 and 1,950.76

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Solution

The fourth proportional to 4,548.48, 6,823.08 and 1,950.76 is: 2,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.48 : 6,823.08 = 1,950.76 : x
  2. Step 2: Convert to fraction form
    4,548.48/6,823.08 = 1,950.76/x
  3. Step 3: Cross multiply
    4,548.48x = 6,823.08 × 1,950.76
  4. Step 4: Simplify right side
    4,548.48x = 13,310,191.54
  5. Step 5: Solve for x
    x = 13,310,191.54/4,548.48
  6. Step 6: Final answer
    x = 2,926.29

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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.