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Finding the Fourth Proportional to 5,597.71, 8,380.35 and 4,216.86

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Solution

The fourth proportional to 5,597.71, 8,380.35 and 4,216.86 is: 6,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.71 : 8,380.35 = 4,216.86 : x
  2. Step 2: Convert to fraction form
    5,597.71/8,380.35 = 4,216.86/x
  3. Step 3: Cross multiply
    5,597.71x = 8,380.35 × 4,216.86
  4. Step 4: Simplify right side
    5,597.71x = 35,338,762.70
  5. Step 5: Solve for x
    x = 35,338,762.70/5,597.71
  6. Step 6: Final answer
    x = 6,313.08

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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.