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Finding the Fourth Proportional to 6,133.94, 9,200.03 and 1,973.41

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Solution

The fourth proportional to 6,133.94, 9,200.03 and 1,973.41 is: 2,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.94 : 9,200.03 = 1,973.41 : x
  2. Step 2: Convert to fraction form
    6,133.94/9,200.03 = 1,973.41/x
  3. Step 3: Cross multiply
    6,133.94x = 9,200.03 × 1,973.41
  4. Step 4: Simplify right side
    6,133.94x = 18,155,461.19
  5. Step 5: Solve for x
    x = 18,155,461.19/6,133.94
  6. Step 6: Final answer
    x = 2,959.83

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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.