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Finding the Fourth Proportional to 23,775.84, 35,659.20 and 7,135.86

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Solution

The fourth proportional to 23,775.84, 35,659.20 and 7,135.86 is: 10,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.84 : 35,659.20 = 7,135.86 : x
  2. Step 2: Convert to fraction form
    23,775.84/35,659.20 = 7,135.86/x
  3. Step 3: Cross multiply
    23,775.84x = 35,659.20 × 7,135.86
  4. Step 4: Simplify right side
    23,775.84x = 254,459,058.91
  5. Step 5: Solve for x
    x = 254,459,058.91/23,775.84
  6. Step 6: Final answer
    x = 10,702.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.