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Finding the Fourth Proportional to 4,122.97, 6,184.40 and 1,003

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Solution

The fourth proportional to 4,122.97, 6,184.40 and 1,003 is: 1,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.97 : 6,184.40 = 1,003 : x
  2. Step 2: Convert to fraction form
    4,122.97/6,184.40 = 1,003/x
  3. Step 3: Cross multiply
    4,122.97x = 6,184.40 × 1,003
  4. Step 4: Simplify right side
    4,122.97x = 6,202,953.20
  5. Step 5: Solve for x
    x = 6,202,953.20/4,122.97
  6. Step 6: Final answer
    x = 1,504.49

Related Problems

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Half scale
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Double scale
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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.