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Finding the Fourth Proportional to 6,409.38, 8,844.64 and 4,730.17

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Solution

The fourth proportional to 6,409.38, 8,844.64 and 4,730.17 is: 6,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.38 : 8,844.64 = 4,730.17 : x
  2. Step 2: Convert to fraction form
    6,409.38/8,844.64 = 4,730.17/x
  3. Step 3: Cross multiply
    6,409.38x = 8,844.64 × 4,730.17
  4. Step 4: Simplify right side
    6,409.38x = 41,836,633.44
  5. Step 5: Solve for x
    x = 41,836,633.44/6,409.38
  6. Step 6: Final answer
    x = 6,527.41

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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.