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Finding the Fourth Proportional to 4,164.48, 6,249.48 and 1,973.46

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Solution

The fourth proportional to 4,164.48, 6,249.48 and 1,973.46 is: 2,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.48 : 6,249.48 = 1,973.46 : x
  2. Step 2: Convert to fraction form
    4,164.48/6,249.48 = 1,973.46/x
  3. Step 3: Cross multiply
    4,164.48x = 6,249.48 × 1,973.46
  4. Step 4: Simplify right side
    4,164.48x = 12,333,098.80
  5. Step 5: Solve for x
    x = 12,333,098.80/4,164.48
  6. Step 6: Final answer
    x = 2,961.50

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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.