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Finding the Fourth Proportional to 9,774.63, 14,661.74 and 2,379.14

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Solution

The fourth proportional to 9,774.63, 14,661.74 and 2,379.14 is: 3,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.63 : 14,661.74 = 2,379.14 : x
  2. Step 2: Convert to fraction form
    9,774.63/14,661.74 = 2,379.14/x
  3. Step 3: Cross multiply
    9,774.63x = 14,661.74 × 2,379.14
  4. Step 4: Simplify right side
    9,774.63x = 34,882,246.90
  5. Step 5: Solve for x
    x = 34,882,246.90/9,774.63
  6. Step 6: Final answer
    x = 3,568.65

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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.