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Finding the Fourth Proportional to 9,774.93, 14,660.14 and 5,827.30

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Solution

The fourth proportional to 9,774.93, 14,660.14 and 5,827.30 is: 8,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.93 : 14,660.14 = 5,827.30 : x
  2. Step 2: Convert to fraction form
    9,774.93/14,660.14 = 5,827.30/x
  3. Step 3: Cross multiply
    9,774.93x = 14,660.14 × 5,827.30
  4. Step 4: Simplify right side
    9,774.93x = 85,429,022.78
  5. Step 5: Solve for x
    x = 85,429,022.78/9,774.93
  6. Step 6: Final answer
    x = 8,739.61

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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.