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Finding the Fourth Proportional to 9,853.53, 13,574.77 and 6,863.96

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Solution

The fourth proportional to 9,853.53, 13,574.77 and 6,863.96 is: 9,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.53 : 13,574.77 = 6,863.96 : x
  2. Step 2: Convert to fraction form
    9,853.53/13,574.77 = 6,863.96/x
  3. Step 3: Cross multiply
    9,853.53x = 13,574.77 × 6,863.96
  4. Step 4: Simplify right side
    9,853.53x = 93,176,593.26
  5. Step 5: Solve for x
    x = 93,176,593.26/9,853.53
  6. Step 6: Final answer
    x = 9,456.16

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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.