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Finding the Fourth Proportional to 10,696.74, 14,757.03 and 8,334.78

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Solution

The fourth proportional to 10,696.74, 14,757.03 and 8,334.78 is: 11,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.74 : 14,757.03 = 8,334.78 : x
  2. Step 2: Convert to fraction form
    10,696.74/14,757.03 = 8,334.78/x
  3. Step 3: Cross multiply
    10,696.74x = 14,757.03 × 8,334.78
  4. Step 4: Simplify right side
    10,696.74x = 122,996,598.50
  5. Step 5: Solve for x
    x = 122,996,598.50/10,696.74
  6. Step 6: Final answer
    x = 11,498.51

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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.