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Finding the Fourth Proportional to 6,702.40, 9,244.69 and 4,046.41

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Solution

The fourth proportional to 6,702.40, 9,244.69 and 4,046.41 is: 5,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.40 : 9,244.69 = 4,046.41 : x
  2. Step 2: Convert to fraction form
    6,702.40/9,244.69 = 4,046.41/x
  3. Step 3: Cross multiply
    6,702.40x = 9,244.69 × 4,046.41
  4. Step 4: Simplify right side
    6,702.40x = 37,407,806.06
  5. Step 5: Solve for x
    x = 37,407,806.06/6,702.40
  6. Step 6: Final answer
    x = 5,581.26

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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.