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Finding the Fourth Proportional to 8,519.02, 11,755.95 and 4,742.06

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Solution

The fourth proportional to 8,519.02, 11,755.95 and 4,742.06 is: 6,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.02 : 11,755.95 = 4,742.06 : x
  2. Step 2: Convert to fraction form
    8,519.02/11,755.95 = 4,742.06/x
  3. Step 3: Cross multiply
    8,519.02x = 11,755.95 × 4,742.06
  4. Step 4: Simplify right side
    8,519.02x = 55,747,420.26
  5. Step 5: Solve for x
    x = 55,747,420.26/8,519.02
  6. Step 6: Final answer
    x = 6,543.88

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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.