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Finding the Fourth Proportional to 9,184.56, 12,674.64 and 4,992.84

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Solution

The fourth proportional to 9,184.56, 12,674.64 and 4,992.84 is: 6,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.56 : 12,674.64 = 4,992.84 : x
  2. Step 2: Convert to fraction form
    9,184.56/12,674.64 = 4,992.84/x
  3. Step 3: Cross multiply
    9,184.56x = 12,674.64 × 4,992.84
  4. Step 4: Simplify right side
    9,184.56x = 63,282,449.58
  5. Step 5: Solve for x
    x = 63,282,449.58/9,184.56
  6. Step 6: Final answer
    x = 6,890.09

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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.