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Finding the Fourth Proportional to 37,099.64, 55,648.64 and 9,019.84

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Solution

The fourth proportional to 37,099.64, 55,648.64 and 9,019.84 is: 13,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099.64 : 55,648.64 = 9,019.84 : x
  2. Step 2: Convert to fraction form
    37,099.64/55,648.64 = 9,019.84/x
  3. Step 3: Cross multiply
    37,099.64x = 55,648.64 × 9,019.84
  4. Step 4: Simplify right side
    37,099.64x = 501,941,829.02
  5. Step 5: Solve for x
    x = 501,941,829.02/37,099.64
  6. Step 6: Final answer
    x = 13,529.56

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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.