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Finding the Fourth Proportional to 10,743.76, 14,833.16 and 8,758.99

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Solution

The fourth proportional to 10,743.76, 14,833.16 and 8,758.99 is: 12,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.76 : 14,833.16 = 8,758.99 : x
  2. Step 2: Convert to fraction form
    10,743.76/14,833.16 = 8,758.99/x
  3. Step 3: Cross multiply
    10,743.76x = 14,833.16 × 8,758.99
  4. Step 4: Simplify right side
    10,743.76x = 129,923,500.11
  5. Step 5: Solve for x
    x = 129,923,500.11/10,743.76
  6. Step 6: Final answer
    x = 12,092.93

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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.