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Finding the Fourth Proportional to 4,564.86, 6,807.21 and 4,523.28

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Solution

The fourth proportional to 4,564.86, 6,807.21 and 4,523.28 is: 6,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.86 : 6,807.21 = 4,523.28 : x
  2. Step 2: Convert to fraction form
    4,564.86/6,807.21 = 4,523.28/x
  3. Step 3: Cross multiply
    4,564.86x = 6,807.21 × 4,523.28
  4. Step 4: Simplify right side
    4,564.86x = 30,790,874.36
  5. Step 5: Solve for x
    x = 30,790,874.36/4,564.86
  6. Step 6: Final answer
    x = 6,745.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.