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Finding the Fourth Proportional to 6,813.65, 9,394.16 and 4,571.97

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Solution

The fourth proportional to 6,813.65, 9,394.16 and 4,571.97 is: 6,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.65 : 9,394.16 = 4,571.97 : x
  2. Step 2: Convert to fraction form
    6,813.65/9,394.16 = 4,571.97/x
  3. Step 3: Cross multiply
    6,813.65x = 9,394.16 × 4,571.97
  4. Step 4: Simplify right side
    6,813.65x = 42,949,794.84
  5. Step 5: Solve for x
    x = 42,949,794.84/6,813.65
  6. Step 6: Final answer
    x = 6,303.50

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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.