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Finding the Fourth Proportional to 5,971.72, 8,959.10 and 3,508.63

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Solution

The fourth proportional to 5,971.72, 8,959.10 and 3,508.63 is: 5,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.72 : 8,959.10 = 3,508.63 : x
  2. Step 2: Convert to fraction form
    5,971.72/8,959.10 = 3,508.63/x
  3. Step 3: Cross multiply
    5,971.72x = 8,959.10 × 3,508.63
  4. Step 4: Simplify right side
    5,971.72x = 31,434,167.03
  5. Step 5: Solve for x
    x = 31,434,167.03/5,971.72
  6. Step 6: Final answer
    x = 5,263.84

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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.