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Finding the Fourth Proportional to 9,893.74, 13,654.02 and 5,702.26

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Solution

The fourth proportional to 9,893.74, 13,654.02 and 5,702.26 is: 7,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.74 : 13,654.02 = 5,702.26 : x
  2. Step 2: Convert to fraction form
    9,893.74/13,654.02 = 5,702.26/x
  3. Step 3: Cross multiply
    9,893.74x = 13,654.02 × 5,702.26
  4. Step 4: Simplify right side
    9,893.74x = 77,858,772.09
  5. Step 5: Solve for x
    x = 77,858,772.09/9,893.74
  6. Step 6: Final answer
    x = 7,869.50

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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.