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Finding the Fourth Proportional to 6,567.50, 9,851.25 and 1,950.50

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Solution

The fourth proportional to 6,567.50, 9,851.25 and 1,950.50 is: 2,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.50 : 9,851.25 = 1,950.50 : x
  2. Step 2: Convert to fraction form
    6,567.50/9,851.25 = 1,950.50/x
  3. Step 3: Cross multiply
    6,567.50x = 9,851.25 × 1,950.50
  4. Step 4: Simplify right side
    6,567.50x = 19,214,863.13
  5. Step 5: Solve for x
    x = 19,214,863.13/6,567.50
  6. Step 6: Final answer
    x = 2,925.75

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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.