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Finding the Fourth Proportional to 10,771.21, 14,843.10 and 8,256.16

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Solution

The fourth proportional to 10,771.21, 14,843.10 and 8,256.16 is: 11,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.21 : 14,843.10 = 8,256.16 : x
  2. Step 2: Convert to fraction form
    10,771.21/14,843.10 = 8,256.16/x
  3. Step 3: Cross multiply
    10,771.21x = 14,843.10 × 8,256.16
  4. Step 4: Simplify right side
    10,771.21x = 122,547,008.50
  5. Step 5: Solve for x
    x = 122,547,008.50/10,771.21
  6. Step 6: Final answer
    x = 11,377.27

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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.