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Finding the Fourth Proportional to 14,992.92, 22,460.22 and 9,783

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Solution

The fourth proportional to 14,992.92, 22,460.22 and 9,783 is: 14,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.92 : 22,460.22 = 9,783 : x
  2. Step 2: Convert to fraction form
    14,992.92/22,460.22 = 9,783/x
  3. Step 3: Cross multiply
    14,992.92x = 22,460.22 × 9,783
  4. Step 4: Simplify right side
    14,992.92x = 219,728,332.26
  5. Step 5: Solve for x
    x = 219,728,332.26/14,992.92
  6. Step 6: Final answer
    x = 14,655.47

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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.