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Finding the Fourth Proportional to 7,058.46, 9,744.66 and 4,823.58

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Solution

The fourth proportional to 7,058.46, 9,744.66 and 4,823.58 is: 6,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.46 : 9,744.66 = 4,823.58 : x
  2. Step 2: Convert to fraction form
    7,058.46/9,744.66 = 4,823.58/x
  3. Step 3: Cross multiply
    7,058.46x = 9,744.66 × 4,823.58
  4. Step 4: Simplify right side
    7,058.46x = 47,004,147.08
  5. Step 5: Solve for x
    x = 47,004,147.08/7,058.46
  6. Step 6: Final answer
    x = 6,659.26

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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.