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Finding the Fourth Proportional to 10,996, 15,175.44 and 6,028.96

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Solution

The fourth proportional to 10,996, 15,175.44 and 6,028.96 is: 8,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996 : 15,175.44 = 6,028.96 : x
  2. Step 2: Convert to fraction form
    10,996/15,175.44 = 6,028.96/x
  3. Step 3: Cross multiply
    10,996x = 15,175.44 × 6,028.96
  4. Step 4: Simplify right side
    10,996x = 91,492,120.74
  5. Step 5: Solve for x
    x = 91,492,120.74/10,996
  6. Step 6: Final answer
    x = 8,320.49

Related Problems

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Double scale
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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.