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Finding the Fourth Proportional to 6,567.78, 9,848.40 and 3,282.78

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Solution

The fourth proportional to 6,567.78, 9,848.40 and 3,282.78 is: 4,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.78 : 9,848.40 = 3,282.78 : x
  2. Step 2: Convert to fraction form
    6,567.78/9,848.40 = 3,282.78/x
  3. Step 3: Cross multiply
    6,567.78x = 9,848.40 × 3,282.78
  4. Step 4: Simplify right side
    6,567.78x = 32,330,130.55
  5. Step 5: Solve for x
    x = 32,330,130.55/6,567.78
  6. Step 6: Final answer
    x = 4,922.54

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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.