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Finding the Fourth Proportional to 6,307.86, 9,453.74 and 2,796.86

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Solution

The fourth proportional to 6,307.86, 9,453.74 and 2,796.86 is: 4,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.86 : 9,453.74 = 2,796.86 : x
  2. Step 2: Convert to fraction form
    6,307.86/9,453.74 = 2,796.86/x
  3. Step 3: Cross multiply
    6,307.86x = 9,453.74 × 2,796.86
  4. Step 4: Simplify right side
    6,307.86x = 26,440,787.26
  5. Step 5: Solve for x
    x = 26,440,787.26/6,307.86
  6. Step 6: Final answer
    x = 4,191.72

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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.