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Finding the Fourth Proportional to 23,352, 35,028.31 and 7,769.63

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Solution

The fourth proportional to 23,352, 35,028.31 and 7,769.63 is: 11,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352 : 35,028.31 = 7,769.63 : x
  2. Step 2: Convert to fraction form
    23,352/35,028.31 = 7,769.63/x
  3. Step 3: Cross multiply
    23,352x = 35,028.31 × 7,769.63
  4. Step 4: Simplify right side
    23,352x = 272,156,813.66
  5. Step 5: Solve for x
    x = 272,156,813.66/23,352
  6. Step 6: Final answer
    x = 11,654.54

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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.