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Finding the Fourth Proportional to 11,416.74, 15,753.27 and 6,938.10

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Solution

The fourth proportional to 11,416.74, 15,753.27 and 6,938.10 is: 9,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.74 : 15,753.27 = 6,938.10 : x
  2. Step 2: Convert to fraction form
    11,416.74/15,753.27 = 6,938.10/x
  3. Step 3: Cross multiply
    11,416.74x = 15,753.27 × 6,938.10
  4. Step 4: Simplify right side
    11,416.74x = 109,297,762.59
  5. Step 5: Solve for x
    x = 109,297,762.59/11,416.74
  6. Step 6: Final answer
    x = 9,573.47

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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.