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Finding the Fourth Proportional to 7,097.36, 9,786.12 and 6,267.92

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Solution

The fourth proportional to 7,097.36, 9,786.12 and 6,267.92 is: 8,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.36 : 9,786.12 = 6,267.92 : x
  2. Step 2: Convert to fraction form
    7,097.36/9,786.12 = 6,267.92/x
  3. Step 3: Cross multiply
    7,097.36x = 9,786.12 × 6,267.92
  4. Step 4: Simplify right side
    7,097.36x = 61,338,617.27
  5. Step 5: Solve for x
    x = 61,338,617.27/7,097.36
  6. Step 6: Final answer
    x = 8,642.46

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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.