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Finding the Fourth Proportional to 11,484.40, 15,844.22 and 7,234.32

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Solution

The fourth proportional to 11,484.40, 15,844.22 and 7,234.32 is: 9,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.40 : 15,844.22 = 7,234.32 : x
  2. Step 2: Convert to fraction form
    11,484.40/15,844.22 = 7,234.32/x
  3. Step 3: Cross multiply
    11,484.40x = 15,844.22 × 7,234.32
  4. Step 4: Simplify right side
    11,484.40x = 114,622,157.63
  5. Step 5: Solve for x
    x = 114,622,157.63/11,484.40
  6. Step 6: Final answer
    x = 9,980.68

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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.