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Finding the Fourth Proportional to 6,759.34, 9,260.14 and 6,506.64

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Solution

The fourth proportional to 6,759.34, 9,260.14 and 6,506.64 is: 8,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.34 : 9,260.14 = 6,506.64 : x
  2. Step 2: Convert to fraction form
    6,759.34/9,260.14 = 6,506.64/x
  3. Step 3: Cross multiply
    6,759.34x = 9,260.14 × 6,506.64
  4. Step 4: Simplify right side
    6,759.34x = 60,252,387.95
  5. Step 5: Solve for x
    x = 60,252,387.95/6,759.34
  6. Step 6: Final answer
    x = 8,913.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.