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Finding the Fourth Proportional to 9,992.40, 14,911.14 and 8,264.40

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Solution

The fourth proportional to 9,992.40, 14,911.14 and 8,264.40 is: 12,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.40 : 14,911.14 = 8,264.40 : x
  2. Step 2: Convert to fraction form
    9,992.40/14,911.14 = 8,264.40/x
  3. Step 3: Cross multiply
    9,992.40x = 14,911.14 × 8,264.40
  4. Step 4: Simplify right side
    9,992.40x = 123,231,625.42
  5. Step 5: Solve for x
    x = 123,231,625.42/9,992.40
  6. Step 6: Final answer
    x = 12,332.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.