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Finding the Fourth Proportional to 23,703.57, 35,575.74 and 9,671.31

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Solution

The fourth proportional to 23,703.57, 35,575.74 and 9,671.31 is: 14,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.57 : 35,575.74 = 9,671.31 : x
  2. Step 2: Convert to fraction form
    23,703.57/35,575.74 = 9,671.31/x
  3. Step 3: Cross multiply
    23,703.57x = 35,575.74 × 9,671.31
  4. Step 4: Simplify right side
    23,703.57x = 344,064,010.02
  5. Step 5: Solve for x
    x = 344,064,010.02/23,703.57
  6. Step 6: Final answer
    x = 14,515.28

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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.