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Finding the Fourth Proportional to 11,524.16, 15,903.04 and 6,556.16

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Solution

The fourth proportional to 11,524.16, 15,903.04 and 6,556.16 is: 9,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.16 : 15,903.04 = 6,556.16 : x
  2. Step 2: Convert to fraction form
    11,524.16/15,903.04 = 6,556.16/x
  3. Step 3: Cross multiply
    11,524.16x = 15,903.04 × 6,556.16
  4. Step 4: Simplify right side
    11,524.16x = 104,262,874.73
  5. Step 5: Solve for x
    x = 104,262,874.73/11,524.16
  6. Step 6: Final answer
    x = 9,047.33

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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.