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Finding the Fourth Proportional to 7,853.46, 11,769.48 and 4,338.24

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Solution

The fourth proportional to 7,853.46, 11,769.48 and 4,338.24 is: 6,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.46 : 11,769.48 = 4,338.24 : x
  2. Step 2: Convert to fraction form
    7,853.46/11,769.48 = 4,338.24/x
  3. Step 3: Cross multiply
    7,853.46x = 11,769.48 × 4,338.24
  4. Step 4: Simplify right side
    7,853.46x = 51,058,828.92
  5. Step 5: Solve for x
    x = 51,058,828.92/7,853.46
  6. Step 6: Final answer
    x = 6,501.44

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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.