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Finding the Fourth Proportional to 6,674.37, 9,997.87 and 3,746.53

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Solution

The fourth proportional to 6,674.37, 9,997.87 and 3,746.53 is: 5,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.37 : 9,997.87 = 3,746.53 : x
  2. Step 2: Convert to fraction form
    6,674.37/9,997.87 = 3,746.53/x
  3. Step 3: Cross multiply
    6,674.37x = 9,997.87 × 3,746.53
  4. Step 4: Simplify right side
    6,674.37x = 37,457,319.89
  5. Step 5: Solve for x
    x = 37,457,319.89/6,674.37
  6. Step 6: Final answer
    x = 5,612.11

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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.