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Finding the Fourth Proportional to 11,848.44, 16,353.44 and 7,374.00

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Solution

The fourth proportional to 11,848.44, 16,353.44 and 7,374.00 is: 10,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.44 : 16,353.44 = 7,374.00 : x
  2. Step 2: Convert to fraction form
    11,848.44/16,353.44 = 7,374.00/x
  3. Step 3: Cross multiply
    11,848.44x = 16,353.44 × 7,374.00
  4. Step 4: Simplify right side
    11,848.44x = 120,590,360.15
  5. Step 5: Solve for x
    x = 120,590,360.15/11,848.44
  6. Step 6: Final answer
    x = 10,177.74

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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.