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Finding the Fourth Proportional to 9,247.14, 13,870.71 and 8,582.84

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Solution

The fourth proportional to 9,247.14, 13,870.71 and 8,582.84 is: 12,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.14 : 13,870.71 = 8,582.84 : x
  2. Step 2: Convert to fraction form
    9,247.14/13,870.71 = 8,582.84/x
  3. Step 3: Cross multiply
    9,247.14x = 13,870.71 × 8,582.84
  4. Step 4: Simplify right side
    9,247.14x = 119,049,992.06
  5. Step 5: Solve for x
    x = 119,049,992.06/9,247.14
  6. Step 6: Final answer
    x = 12,874.25

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Similar ratio
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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.