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Finding the Fourth Proportional to 8,542.76, 11,789.22 and 4,817

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Solution

The fourth proportional to 8,542.76, 11,789.22 and 4,817 is: 6,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.76 : 11,789.22 = 4,817 : x
  2. Step 2: Convert to fraction form
    8,542.76/11,789.22 = 4,817/x
  3. Step 3: Cross multiply
    8,542.76x = 11,789.22 × 4,817
  4. Step 4: Simplify right side
    8,542.76x = 56,788,672.74
  5. Step 5: Solve for x
    x = 56,788,672.74/8,542.76
  6. Step 6: Final answer
    x = 6,647.58

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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.