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Finding the Fourth Proportional to 6,567.68, 9,787.82 and 6,357.54

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Solution

The fourth proportional to 6,567.68, 9,787.82 and 6,357.54 is: 9,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.68 : 9,787.82 = 6,357.54 : x
  2. Step 2: Convert to fraction form
    6,567.68/9,787.82 = 6,357.54/x
  3. Step 3: Cross multiply
    6,567.68x = 9,787.82 × 6,357.54
  4. Step 4: Simplify right side
    6,567.68x = 62,226,376.44
  5. Step 5: Solve for x
    x = 62,226,376.44/6,567.68
  6. Step 6: Final answer
    x = 9,474.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.