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Finding the Fourth Proportional to 6,465.80, 9,702.30 and 2,767.40

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Solution

The fourth proportional to 6,465.80, 9,702.30 and 2,767.40 is: 4,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.80 : 9,702.30 = 2,767.40 : x
  2. Step 2: Convert to fraction form
    6,465.80/9,702.30 = 2,767.40/x
  3. Step 3: Cross multiply
    6,465.80x = 9,702.30 × 2,767.40
  4. Step 4: Simplify right side
    6,465.80x = 26,850,145.02
  5. Step 5: Solve for x
    x = 26,850,145.02/6,465.80
  6. Step 6: Final answer
    x = 4,152.64

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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.