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Finding the Fourth Proportional to 9,574.44, 13,212.99 and 5,798.28

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Solution

The fourth proportional to 9,574.44, 13,212.99 and 5,798.28 is: 8,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.44 : 13,212.99 = 5,798.28 : x
  2. Step 2: Convert to fraction form
    9,574.44/13,212.99 = 5,798.28/x
  3. Step 3: Cross multiply
    9,574.44x = 13,212.99 × 5,798.28
  4. Step 4: Simplify right side
    9,574.44x = 76,612,615.66
  5. Step 5: Solve for x
    x = 76,612,615.66/9,574.44
  6. Step 6: Final answer
    x = 8,001.79

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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.