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Finding the Fourth Proportional to 7,058, 9,740.84 and 4,074.63

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Solution

The fourth proportional to 7,058, 9,740.84 and 4,074.63 is: 5,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 9,740.84 = 4,074.63 : x
  2. Step 2: Convert to fraction form
    7,058/9,740.84 = 4,074.63/x
  3. Step 3: Cross multiply
    7,058x = 9,740.84 × 4,074.63
  4. Step 4: Simplify right side
    7,058x = 39,690,318.89
  5. Step 5: Solve for x
    x = 39,690,318.89/7,058
  6. Step 6: Final answer
    x = 5,623.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.