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Finding the Fourth Proportional to 6,937.36, 9,617.46 and 6,563.14

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Solution

The fourth proportional to 6,937.36, 9,617.46 and 6,563.14 is: 9,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.36 : 9,617.46 = 6,563.14 : x
  2. Step 2: Convert to fraction form
    6,937.36/9,617.46 = 6,563.14/x
  3. Step 3: Cross multiply
    6,937.36x = 9,617.46 × 6,563.14
  4. Step 4: Simplify right side
    6,937.36x = 63,120,703.61
  5. Step 5: Solve for x
    x = 63,120,703.61/6,937.36
  6. Step 6: Final answer
    x = 9,098.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.