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Finding the Fourth Proportional to 5,632.85, 7,773.02 and 3,114.81

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Solution

The fourth proportional to 5,632.85, 7,773.02 and 3,114.81 is: 4,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.85 : 7,773.02 = 3,114.81 : x
  2. Step 2: Convert to fraction form
    5,632.85/7,773.02 = 3,114.81/x
  3. Step 3: Cross multiply
    5,632.85x = 7,773.02 × 3,114.81
  4. Step 4: Simplify right side
    5,632.85x = 24,211,464.85
  5. Step 5: Solve for x
    x = 24,211,464.85/5,632.85
  6. Step 6: Final answer
    x = 4,298.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.