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Finding the Fourth Proportional to 6,184.50, 9,277.29 and 1,567.50

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Solution

The fourth proportional to 6,184.50, 9,277.29 and 1,567.50 is: 2,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.50 : 9,277.29 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    6,184.50/9,277.29 = 1,567.50/x
  3. Step 3: Cross multiply
    6,184.50x = 9,277.29 × 1,567.50
  4. Step 4: Simplify right side
    6,184.50x = 14,542,152.08
  5. Step 5: Solve for x
    x = 14,542,152.08/6,184.50
  6. Step 6: Final answer
    x = 2,351.39

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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.