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Finding the Fourth Proportional to 11,564.86, 15,959.54 and 6,529.28

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Solution

The fourth proportional to 11,564.86, 15,959.54 and 6,529.28 is: 9,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.86 : 15,959.54 = 6,529.28 : x
  2. Step 2: Convert to fraction form
    11,564.86/15,959.54 = 6,529.28/x
  3. Step 3: Cross multiply
    11,564.86x = 15,959.54 × 6,529.28
  4. Step 4: Simplify right side
    11,564.86x = 104,204,305.33
  5. Step 5: Solve for x
    x = 104,204,305.33/11,564.86
  6. Step 6: Final answer
    x = 9,010.43

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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.