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Finding the Fourth Proportional to 6,567.90, 9,840.72 and 3,965.38

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Solution

The fourth proportional to 6,567.90, 9,840.72 and 3,965.38 is: 5,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.90 : 9,840.72 = 3,965.38 : x
  2. Step 2: Convert to fraction form
    6,567.90/9,840.72 = 3,965.38/x
  3. Step 3: Cross multiply
    6,567.90x = 9,840.72 × 3,965.38
  4. Step 4: Simplify right side
    6,567.90x = 39,022,194.27
  5. Step 5: Solve for x
    x = 39,022,194.27/6,567.90
  6. Step 6: Final answer
    x = 5,941.35

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1.5x scale

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.