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Finding the Fourth Proportional to 10,484.76, 15,722.22 and 6,103.44

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Solution

The fourth proportional to 10,484.76, 15,722.22 and 6,103.44 is: 9,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.76 : 15,722.22 = 6,103.44 : x
  2. Step 2: Convert to fraction form
    10,484.76/15,722.22 = 6,103.44/x
  3. Step 3: Cross multiply
    10,484.76x = 15,722.22 × 6,103.44
  4. Step 4: Simplify right side
    10,484.76x = 95,959,626.44
  5. Step 5: Solve for x
    x = 95,959,626.44/10,484.76
  6. Step 6: Final answer
    x = 9,152.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.