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Finding the Fourth Proportional to 23,770.88, 35,646.75 and 8,971.76

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Solution

The fourth proportional to 23,770.88, 35,646.75 and 8,971.76 is: 13,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.88 : 35,646.75 = 8,971.76 : x
  2. Step 2: Convert to fraction form
    23,770.88/35,646.75 = 8,971.76/x
  3. Step 3: Cross multiply
    23,770.88x = 35,646.75 × 8,971.76
  4. Step 4: Simplify right side
    23,770.88x = 319,814,085.78
  5. Step 5: Solve for x
    x = 319,814,085.78/23,770.88
  6. Step 6: Final answer
    x = 13,454.03

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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.