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Finding the Fourth Proportional to 8,307.96, 11,464.94 and 4,531.06

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Solution

The fourth proportional to 8,307.96, 11,464.94 and 4,531.06 is: 6,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.96 : 11,464.94 = 4,531.06 : x
  2. Step 2: Convert to fraction form
    8,307.96/11,464.94 = 4,531.06/x
  3. Step 3: Cross multiply
    8,307.96x = 11,464.94 × 4,531.06
  4. Step 4: Simplify right side
    8,307.96x = 51,948,292.20
  5. Step 5: Solve for x
    x = 51,948,292.20/8,307.96
  6. Step 6: Final answer
    x = 6,252.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.