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Finding the Fourth Proportional to 6,507.14, 8,975 and 4,238.98

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Solution

The fourth proportional to 6,507.14, 8,975 and 4,238.98 is: 5,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.14 : 8,975 = 4,238.98 : x
  2. Step 2: Convert to fraction form
    6,507.14/8,975 = 4,238.98/x
  3. Step 3: Cross multiply
    6,507.14x = 8,975 × 4,238.98
  4. Step 4: Simplify right side
    6,507.14x = 38,044,845.50
  5. Step 5: Solve for x
    x = 38,044,845.50/6,507.14
  6. Step 6: Final answer
    x = 5,846.63

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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.