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Finding the Fourth Proportional to 9,894.76, 14,844.67 and 7,293.24

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Solution

The fourth proportional to 9,894.76, 14,844.67 and 7,293.24 is: 10,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.76 : 14,844.67 = 7,293.24 : x
  2. Step 2: Convert to fraction form
    9,894.76/14,844.67 = 7,293.24/x
  3. Step 3: Cross multiply
    9,894.76x = 14,844.67 × 7,293.24
  4. Step 4: Simplify right side
    9,894.76x = 108,265,722.80
  5. Step 5: Solve for x
    x = 108,265,722.80/9,894.76
  6. Step 6: Final answer
    x = 10,941.73

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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.