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Finding the Fourth Proportional to 6,567.50, 9,063.16 and 3,773

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Solution

The fourth proportional to 6,567.50, 9,063.16 and 3,773 is: 5,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.50 : 9,063.16 = 3,773 : x
  2. Step 2: Convert to fraction form
    6,567.50/9,063.16 = 3,773/x
  3. Step 3: Cross multiply
    6,567.50x = 9,063.16 × 3,773
  4. Step 4: Simplify right side
    6,567.50x = 34,195,302.68
  5. Step 5: Solve for x
    x = 34,195,302.68/6,567.50
  6. Step 6: Final answer
    x = 5,206.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.