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Finding the Fourth Proportional to 10,776.98, 14,879.60 and 8,254.64

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Solution

The fourth proportional to 10,776.98, 14,879.60 and 8,254.64 is: 11,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.98 : 14,879.60 = 8,254.64 : x
  2. Step 2: Convert to fraction form
    10,776.98/14,879.60 = 8,254.64/x
  3. Step 3: Cross multiply
    10,776.98x = 14,879.60 × 8,254.64
  4. Step 4: Simplify right side
    10,776.98x = 122,825,768.22
  5. Step 5: Solve for x
    x = 122,825,768.22/10,776.98
  6. Step 6: Final answer
    x = 11,397.05

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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.