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Finding the Fourth Proportional to 9,940.10, 13,702.82 and 6,946.60

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Solution

The fourth proportional to 9,940.10, 13,702.82 and 6,946.60 is: 9,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.10 : 13,702.82 = 6,946.60 : x
  2. Step 2: Convert to fraction form
    9,940.10/13,702.82 = 6,946.60/x
  3. Step 3: Cross multiply
    9,940.10x = 13,702.82 × 6,946.60
  4. Step 4: Simplify right side
    9,940.10x = 95,188,009.41
  5. Step 5: Solve for x
    x = 95,188,009.41/9,940.10
  6. Step 6: Final answer
    x = 9,576.16

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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.