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Finding the Fourth Proportional to 6,117, 8,441.46 and 3,322.50

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Solution

The fourth proportional to 6,117, 8,441.46 and 3,322.50 is: 4,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117 : 8,441.46 = 3,322.50 : x
  2. Step 2: Convert to fraction form
    6,117/8,441.46 = 3,322.50/x
  3. Step 3: Cross multiply
    6,117x = 8,441.46 × 3,322.50
  4. Step 4: Simplify right side
    6,117x = 28,046,750.85
  5. Step 5: Solve for x
    x = 28,046,750.85/6,117
  6. Step 6: Final answer
    x = 4,585.05

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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.