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Finding the Fourth Proportional to 5,664.70, 8,477.34 and 4,328.20

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Solution

The fourth proportional to 5,664.70, 8,477.34 and 4,328.20 is: 6,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.70 : 8,477.34 = 4,328.20 : x
  2. Step 2: Convert to fraction form
    5,664.70/8,477.34 = 4,328.20/x
  3. Step 3: Cross multiply
    5,664.70x = 8,477.34 × 4,328.20
  4. Step 4: Simplify right side
    5,664.70x = 36,691,622.99
  5. Step 5: Solve for x
    x = 36,691,622.99/5,664.70
  6. Step 6: Final answer
    x = 6,477.24

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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.