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Finding the Fourth Proportional to 5,632.84, 7,773.00 and 3,114.86

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Solution

The fourth proportional to 5,632.84, 7,773.00 and 3,114.86 is: 4,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.84 : 7,773.00 = 3,114.86 : x
  2. Step 2: Convert to fraction form
    5,632.84/7,773.00 = 3,114.86/x
  3. Step 3: Cross multiply
    5,632.84x = 7,773.00 × 3,114.86
  4. Step 4: Simplify right side
    5,632.84x = 24,211,756.23
  5. Step 5: Solve for x
    x = 24,211,756.23/5,632.84
  6. Step 6: Final answer
    x = 4,298.32

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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.