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Finding the Fourth Proportional to 4,773.06, 7,164.14 and 2,927.78

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Solution

The fourth proportional to 4,773.06, 7,164.14 and 2,927.78 is: 4,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.06 : 7,164.14 = 2,927.78 : x
  2. Step 2: Convert to fraction form
    4,773.06/7,164.14 = 2,927.78/x
  3. Step 3: Cross multiply
    4,773.06x = 7,164.14 × 2,927.78
  4. Step 4: Simplify right side
    4,773.06x = 20,975,025.81
  5. Step 5: Solve for x
    x = 20,975,025.81/4,773.06
  6. Step 6: Final answer
    x = 4,394.46

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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.