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Finding the Fourth Proportional to 37,102.40, 55,652.81 and 9,022.60

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Solution

The fourth proportional to 37,102.40, 55,652.81 and 9,022.60 is: 13,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.40 : 55,652.81 = 9,022.60 : x
  2. Step 2: Convert to fraction form
    37,102.40/55,652.81 = 9,022.60/x
  3. Step 3: Cross multiply
    37,102.40x = 55,652.81 × 9,022.60
  4. Step 4: Simplify right side
    37,102.40x = 502,132,765.24
  5. Step 5: Solve for x
    x = 502,132,765.24/37,102.40
  6. Step 6: Final answer
    x = 13,533.70

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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.