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Finding the Fourth Proportional to 10,654.20, 14,702.06 and 5,938.20

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Solution

The fourth proportional to 10,654.20, 14,702.06 and 5,938.20 is: 8,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.20 : 14,702.06 = 5,938.20 : x
  2. Step 2: Convert to fraction form
    10,654.20/14,702.06 = 5,938.20/x
  3. Step 3: Cross multiply
    10,654.20x = 14,702.06 × 5,938.20
  4. Step 4: Simplify right side
    10,654.20x = 87,303,772.69
  5. Step 5: Solve for x
    x = 87,303,772.69/10,654.20
  6. Step 6: Final answer
    x = 8,194.31

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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.