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Finding the Fourth Proportional to 9,643.72, 13,306.74 and 6,058.12

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Solution

The fourth proportional to 9,643.72, 13,306.74 and 6,058.12 is: 8,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.72 : 13,306.74 = 6,058.12 : x
  2. Step 2: Convert to fraction form
    9,643.72/13,306.74 = 6,058.12/x
  3. Step 3: Cross multiply
    9,643.72x = 13,306.74 × 6,058.12
  4. Step 4: Simplify right side
    9,643.72x = 80,613,827.73
  5. Step 5: Solve for x
    x = 80,613,827.73/9,643.72
  6. Step 6: Final answer
    x = 8,359.20

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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.