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Finding the Fourth Proportional to 9,667.54, 14,498.21 and 3,092.16

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Solution

The fourth proportional to 9,667.54, 14,498.21 and 3,092.16 is: 4,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.54 : 14,498.21 = 3,092.16 : x
  2. Step 2: Convert to fraction form
    9,667.54/14,498.21 = 3,092.16/x
  3. Step 3: Cross multiply
    9,667.54x = 14,498.21 × 3,092.16
  4. Step 4: Simplify right side
    9,667.54x = 44,830,785.03
  5. Step 5: Solve for x
    x = 44,830,785.03/9,667.54
  6. Step 6: Final answer
    x = 4,637.25

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1.5x scale

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.