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Finding the Fourth Proportional to 10,546.32, 15,848.22 and 5,619.48

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Solution

The fourth proportional to 10,546.32, 15,848.22 and 5,619.48 is: 8,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.32 : 15,848.22 = 5,619.48 : x
  2. Step 2: Convert to fraction form
    10,546.32/15,848.22 = 5,619.48/x
  3. Step 3: Cross multiply
    10,546.32x = 15,848.22 × 5,619.48
  4. Step 4: Simplify right side
    10,546.32x = 89,058,755.33
  5. Step 5: Solve for x
    x = 89,058,755.33/10,546.32
  6. Step 6: Final answer
    x = 8,444.53

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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.