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Finding the Fourth Proportional to 6,504.09, 9,794.81 and 6,066.69

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Solution

The fourth proportional to 6,504.09, 9,794.81 and 6,066.69 is: 9,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.09 : 9,794.81 = 6,066.69 : x
  2. Step 2: Convert to fraction form
    6,504.09/9,794.81 = 6,066.69/x
  3. Step 3: Cross multiply
    6,504.09x = 9,794.81 × 6,066.69
  4. Step 4: Simplify right side
    6,504.09x = 59,422,075.88
  5. Step 5: Solve for x
    x = 59,422,075.88/6,504.09
  6. Step 6: Final answer
    x = 9,136.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.