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Finding the Fourth Proportional to 4,113.58, 6,170.31 and 993.56

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Solution

The fourth proportional to 4,113.58, 6,170.31 and 993.56 is: 1,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.58 : 6,170.31 = 993.56 : x
  2. Step 2: Convert to fraction form
    4,113.58/6,170.31 = 993.56/x
  3. Step 3: Cross multiply
    4,113.58x = 6,170.31 × 993.56
  4. Step 4: Simplify right side
    4,113.58x = 6,130,573.20
  5. Step 5: Solve for x
    x = 6,130,573.20/4,113.58
  6. Step 6: Final answer
    x = 1,490.33

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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.