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Finding the Fourth Proportional to 9,886.56, 13,645.44 and 7,524.48

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Solution

The fourth proportional to 9,886.56, 13,645.44 and 7,524.48 is: 10,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.56 : 13,645.44 = 7,524.48 : x
  2. Step 2: Convert to fraction form
    9,886.56/13,645.44 = 7,524.48/x
  3. Step 3: Cross multiply
    9,886.56x = 13,645.44 × 7,524.48
  4. Step 4: Simplify right side
    9,886.56x = 102,674,840.37
  5. Step 5: Solve for x
    x = 102,674,840.37/9,886.56
  6. Step 6: Final answer
    x = 10,385.29

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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.