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Finding the Fourth Proportional to 6,325.66, 9,488.48 and 3,745

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Solution

The fourth proportional to 6,325.66, 9,488.48 and 3,745 is: 5,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.66 : 9,488.48 = 3,745 : x
  2. Step 2: Convert to fraction form
    6,325.66/9,488.48 = 3,745/x
  3. Step 3: Cross multiply
    6,325.66x = 9,488.48 × 3,745
  4. Step 4: Simplify right side
    6,325.66x = 35,534,357.60
  5. Step 5: Solve for x
    x = 35,534,357.60/6,325.66
  6. Step 6: Final answer
    x = 5,617.49

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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.