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Finding the Fourth Proportional to 6,853.79, 9,448.33 and 4,491.83

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Solution

The fourth proportional to 6,853.79, 9,448.33 and 4,491.83 is: 6,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.79 : 9,448.33 = 4,491.83 : x
  2. Step 2: Convert to fraction form
    6,853.79/9,448.33 = 4,491.83/x
  3. Step 3: Cross multiply
    6,853.79x = 9,448.33 × 4,491.83
  4. Step 4: Simplify right side
    6,853.79x = 42,440,292.14
  5. Step 5: Solve for x
    x = 42,440,292.14/6,853.79
  6. Step 6: Final answer
    x = 6,192.24

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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.