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Finding the Fourth Proportional to 6,184.36, 9,275.80 and 1,567

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Solution

The fourth proportional to 6,184.36, 9,275.80 and 1,567 is: 2,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.36 : 9,275.80 = 1,567 : x
  2. Step 2: Convert to fraction form
    6,184.36/9,275.80 = 1,567/x
  3. Step 3: Cross multiply
    6,184.36x = 9,275.80 × 1,567
  4. Step 4: Simplify right side
    6,184.36x = 14,535,178.60
  5. Step 5: Solve for x
    x = 14,535,178.60/6,184.36
  6. Step 6: Final answer
    x = 2,350.31

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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.