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Finding the Fourth Proportional to 9,853.16, 13,574.25 and 6,863.58

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Solution

The fourth proportional to 9,853.16, 13,574.25 and 6,863.58 is: 9,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.16 : 13,574.25 = 6,863.58 : x
  2. Step 2: Convert to fraction form
    9,853.16/13,574.25 = 6,863.58/x
  3. Step 3: Cross multiply
    9,853.16x = 13,574.25 × 6,863.58
  4. Step 4: Simplify right side
    9,853.16x = 93,167,950.82
  5. Step 5: Solve for x
    x = 93,167,950.82/9,853.16
  6. Step 6: Final answer
    x = 9,455.65

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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.