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Finding the Fourth Proportional to 11,410.98, 15,748.74 and 6,696.78

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Solution

The fourth proportional to 11,410.98, 15,748.74 and 6,696.78 is: 9,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.98 : 15,748.74 = 6,696.78 : x
  2. Step 2: Convert to fraction form
    11,410.98/15,748.74 = 6,696.78/x
  3. Step 3: Cross multiply
    11,410.98x = 15,748.74 × 6,696.78
  4. Step 4: Simplify right side
    11,410.98x = 105,465,847.06
  5. Step 5: Solve for x
    x = 105,465,847.06/11,410.98
  6. Step 6: Final answer
    x = 9,242.49

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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.