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Finding the Fourth Proportional to 6,307.80, 9,451.26 and 3,835.10

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Solution

The fourth proportional to 6,307.80, 9,451.26 and 3,835.10 is: 5,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.80 : 9,451.26 = 3,835.10 : x
  2. Step 2: Convert to fraction form
    6,307.80/9,451.26 = 3,835.10/x
  3. Step 3: Cross multiply
    6,307.80x = 9,451.26 × 3,835.10
  4. Step 4: Simplify right side
    6,307.80x = 36,246,527.23
  5. Step 5: Solve for x
    x = 36,246,527.23/6,307.80
  6. Step 6: Final answer
    x = 5,746.30

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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.