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Finding the Fourth Proportional to 6,133.56, 9,199.46 and 1,973.02

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Solution

The fourth proportional to 6,133.56, 9,199.46 and 1,973.02 is: 2,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.56 : 9,199.46 = 1,973.02 : x
  2. Step 2: Convert to fraction form
    6,133.56/9,199.46 = 1,973.02/x
  3. Step 3: Cross multiply
    6,133.56x = 9,199.46 × 1,973.02
  4. Step 4: Simplify right side
    6,133.56x = 18,150,718.57
  5. Step 5: Solve for x
    x = 18,150,718.57/6,133.56
  6. Step 6: Final answer
    x = 2,959.25

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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.