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Finding the Fourth Proportional to 7,058.54, 9,741.24 and 4,074.50

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Solution

The fourth proportional to 7,058.54, 9,741.24 and 4,074.50 is: 5,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.54 : 9,741.24 = 4,074.50 : x
  2. Step 2: Convert to fraction form
    7,058.54/9,741.24 = 4,074.50/x
  3. Step 3: Cross multiply
    7,058.54x = 9,741.24 × 4,074.50
  4. Step 4: Simplify right side
    7,058.54x = 39,690,682.38
  5. Step 5: Solve for x
    x = 39,690,682.38/7,058.54
  6. Step 6: Final answer
    x = 5,623.07

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1.5x scale

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.