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Finding the Fourth Proportional to 11,032, 15,179.52 and 10,648.96

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Solution

The fourth proportional to 11,032, 15,179.52 and 10,648.96 is: 14,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 15,179.52 = 10,648.96 : x
  2. Step 2: Convert to fraction form
    11,032/15,179.52 = 10,648.96/x
  3. Step 3: Cross multiply
    11,032x = 15,179.52 × 10,648.96
  4. Step 4: Simplify right side
    11,032x = 161,646,101.30
  5. Step 5: Solve for x
    x = 161,646,101.30/11,032
  6. Step 6: Final answer
    x = 14,652.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.