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Finding the Fourth Proportional to 9,262.94, 13,894.44 and 2,242.94

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Solution

The fourth proportional to 9,262.94, 13,894.44 and 2,242.94 is: 3,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.94 : 13,894.44 = 2,242.94 : x
  2. Step 2: Convert to fraction form
    9,262.94/13,894.44 = 2,242.94/x
  3. Step 3: Cross multiply
    9,262.94x = 13,894.44 × 2,242.94
  4. Step 4: Simplify right side
    9,262.94x = 31,164,354.91
  5. Step 5: Solve for x
    x = 31,164,354.91/9,262.94
  6. Step 6: Final answer
    x = 3,364.41

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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.