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Finding the Fourth Proportional to 6,804.69, 10,207.02 and 4,464.15

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Solution

The fourth proportional to 6,804.69, 10,207.02 and 4,464.15 is: 6,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.69 : 10,207.02 = 4,464.15 : x
  2. Step 2: Convert to fraction form
    6,804.69/10,207.02 = 4,464.15/x
  3. Step 3: Cross multiply
    6,804.69x = 10,207.02 × 4,464.15
  4. Step 4: Simplify right side
    6,804.69x = 45,565,668.33
  5. Step 5: Solve for x
    x = 45,565,668.33/6,804.69
  6. Step 6: Final answer
    x = 6,696.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.