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Finding the Fourth Proportional to 4,783.74, 7,175.74 and 1,496.76

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Solution

The fourth proportional to 4,783.74, 7,175.74 and 1,496.76 is: 2,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.74 : 7,175.74 = 1,496.76 : x
  2. Step 2: Convert to fraction form
    4,783.74/7,175.74 = 1,496.76/x
  3. Step 3: Cross multiply
    4,783.74x = 7,175.74 × 1,496.76
  4. Step 4: Simplify right side
    4,783.74x = 10,740,360.60
  5. Step 5: Solve for x
    x = 10,740,360.60/4,783.74
  6. Step 6: Final answer
    x = 2,245.18

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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.