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Finding the Fourth Proportional to 6,665.37, 9,998.64 and 1,735.01

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Solution

The fourth proportional to 6,665.37, 9,998.64 and 1,735.01 is: 2,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.37 : 9,998.64 = 1,735.01 : x
  2. Step 2: Convert to fraction form
    6,665.37/9,998.64 = 1,735.01/x
  3. Step 3: Cross multiply
    6,665.37x = 9,998.64 × 1,735.01
  4. Step 4: Simplify right side
    6,665.37x = 17,347,690.39
  5. Step 5: Solve for x
    x = 17,347,690.39/6,665.37
  6. Step 6: Final answer
    x = 2,602.66

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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.