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Finding the Fourth Proportional to 11,776.98, 17,641.86 and 7,094.36

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Solution

The fourth proportional to 11,776.98, 17,641.86 and 7,094.36 is: 10,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.98 : 17,641.86 = 7,094.36 : x
  2. Step 2: Convert to fraction form
    11,776.98/17,641.86 = 7,094.36/x
  3. Step 3: Cross multiply
    11,776.98x = 17,641.86 × 7,094.36
  4. Step 4: Simplify right side
    11,776.98x = 125,157,705.91
  5. Step 5: Solve for x
    x = 125,157,705.91/11,776.98
  6. Step 6: Final answer
    x = 10,627.32

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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.