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Finding the Fourth Proportional to 8,735.38, 13,152.31 and 7,702.02

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Solution

The fourth proportional to 8,735.38, 13,152.31 and 7,702.02 is: 11,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.38 : 13,152.31 = 7,702.02 : x
  2. Step 2: Convert to fraction form
    8,735.38/13,152.31 = 7,702.02/x
  3. Step 3: Cross multiply
    8,735.38x = 13,152.31 × 7,702.02
  4. Step 4: Simplify right side
    8,735.38x = 101,299,335.41
  5. Step 5: Solve for x
    x = 101,299,335.41/8,735.38
  6. Step 6: Final answer
    x = 11,596.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.