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Finding the Fourth Proportional to 8,507.58, 11,737.12 and 6,274.82

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Solution

The fourth proportional to 8,507.58, 11,737.12 and 6,274.82 is: 8,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.58 : 11,737.12 = 6,274.82 : x
  2. Step 2: Convert to fraction form
    8,507.58/11,737.12 = 6,274.82/x
  3. Step 3: Cross multiply
    8,507.58x = 11,737.12 × 6,274.82
  4. Step 4: Simplify right side
    8,507.58x = 73,648,315.32
  5. Step 5: Solve for x
    x = 73,648,315.32/8,507.58
  6. Step 6: Final answer
    x = 8,656.79

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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.