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Finding the Fourth Proportional to 10,701.58, 14,765.22 and 6,164.08

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Solution

The fourth proportional to 10,701.58, 14,765.22 and 6,164.08 is: 8,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.58 : 14,765.22 = 6,164.08 : x
  2. Step 2: Convert to fraction form
    10,701.58/14,765.22 = 6,164.08/x
  3. Step 3: Cross multiply
    10,701.58x = 14,765.22 × 6,164.08
  4. Step 4: Simplify right side
    10,701.58x = 91,013,997.30
  5. Step 5: Solve for x
    x = 91,013,997.30/10,701.58
  6. Step 6: Final answer
    x = 8,504.73

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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.