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Finding the Fourth Proportional to 6,090, 9,133.92 and 1,707.84

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Solution

The fourth proportional to 6,090, 9,133.92 and 1,707.84 is: 2,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090 : 9,133.92 = 1,707.84 : x
  2. Step 2: Convert to fraction form
    6,090/9,133.92 = 1,707.84/x
  3. Step 3: Cross multiply
    6,090x = 9,133.92 × 1,707.84
  4. Step 4: Simplify right side
    6,090x = 15,599,273.93
  5. Step 5: Solve for x
    x = 15,599,273.93/6,090
  6. Step 6: Final answer
    x = 2,561.46

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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.