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Finding the Fourth Proportional to 6,567.60, 9,849.60 and 2,406.88

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Solution

The fourth proportional to 6,567.60, 9,849.60 and 2,406.88 is: 3,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.60 : 9,849.60 = 2,406.88 : x
  2. Step 2: Convert to fraction form
    6,567.60/9,849.60 = 2,406.88/x
  3. Step 3: Cross multiply
    6,567.60x = 9,849.60 × 2,406.88
  4. Step 4: Simplify right side
    6,567.60x = 23,706,805.25
  5. Step 5: Solve for x
    x = 23,706,805.25/6,567.60
  6. Step 6: Final answer
    x = 3,609.66

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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.