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Finding the Fourth Proportional to 37,164.16, 55,741.44 and 9,460.48

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Solution

The fourth proportional to 37,164.16, 55,741.44 and 9,460.48 is: 14,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164.16 : 55,741.44 = 9,460.48 : x
  2. Step 2: Convert to fraction form
    37,164.16/55,741.44 = 9,460.48/x
  3. Step 3: Cross multiply
    37,164.16x = 55,741.44 × 9,460.48
  4. Step 4: Simplify right side
    37,164.16x = 527,340,778.29
  5. Step 5: Solve for x
    x = 527,340,778.29/37,164.16
  6. Step 6: Final answer
    x = 14,189.50

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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.