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Finding the Fourth Proportional to 10,772.84, 14,873.88 and 8,250.50

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Solution

The fourth proportional to 10,772.84, 14,873.88 and 8,250.50 is: 11,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.84 : 14,873.88 = 8,250.50 : x
  2. Step 2: Convert to fraction form
    10,772.84/14,873.88 = 8,250.50/x
  3. Step 3: Cross multiply
    10,772.84x = 14,873.88 × 8,250.50
  4. Step 4: Simplify right side
    10,772.84x = 122,716,946.94
  5. Step 5: Solve for x
    x = 122,716,946.94/10,772.84
  6. Step 6: Final answer
    x = 11,391.33

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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.