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Finding the Fourth Proportional to 3,164.98, 4,747.39 and 973.66

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Solution

The fourth proportional to 3,164.98, 4,747.39 and 973.66 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.98 : 4,747.39 = 973.66 : x
  2. Step 2: Convert to fraction form
    3,164.98/4,747.39 = 973.66/x
  3. Step 3: Cross multiply
    3,164.98x = 4,747.39 × 973.66
  4. Step 4: Simplify right side
    3,164.98x = 4,622,343.75
  5. Step 5: Solve for x
    x = 4,622,343.75/3,164.98
  6. Step 6: Final answer
    x = 1,460.47

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Double scale
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Similar ratio
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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.