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Finding the Fourth Proportional to 9,184.16, 12,674.16 and 4,992.40

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Solution

The fourth proportional to 9,184.16, 12,674.16 and 4,992.40 is: 6,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.16 : 12,674.16 = 4,992.40 : x
  2. Step 2: Convert to fraction form
    9,184.16/12,674.16 = 4,992.40/x
  3. Step 3: Cross multiply
    9,184.16x = 12,674.16 × 4,992.40
  4. Step 4: Simplify right side
    9,184.16x = 63,274,476.38
  5. Step 5: Solve for x
    x = 63,274,476.38/9,184.16
  6. Step 6: Final answer
    x = 6,889.52

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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.