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Finding the Fourth Proportional to 6,861.76, 10,296.72 and 6,304.07

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Solution

The fourth proportional to 6,861.76, 10,296.72 and 6,304.07 is: 9,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.76 : 10,296.72 = 6,304.07 : x
  2. Step 2: Convert to fraction form
    6,861.76/10,296.72 = 6,304.07/x
  3. Step 3: Cross multiply
    6,861.76x = 10,296.72 × 6,304.07
  4. Step 4: Simplify right side
    6,861.76x = 64,911,269.39
  5. Step 5: Solve for x
    x = 64,911,269.39/6,861.76
  6. Step 6: Final answer
    x = 9,459.86

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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.