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Finding the Fourth Proportional to 6,468.69, 9,702.56 and 2,308.23

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Solution

The fourth proportional to 6,468.69, 9,702.56 and 2,308.23 is: 3,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.69 : 9,702.56 = 2,308.23 : x
  2. Step 2: Convert to fraction form
    6,468.69/9,702.56 = 2,308.23/x
  3. Step 3: Cross multiply
    6,468.69x = 9,702.56 × 2,308.23
  4. Step 4: Simplify right side
    6,468.69x = 22,395,740.07
  5. Step 5: Solve for x
    x = 22,395,740.07/6,468.69
  6. Step 6: Final answer
    x = 3,462.18

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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.