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Finding the Fourth Proportional to 9,667.80, 14,469.30 and 8,501.40

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Solution

The fourth proportional to 9,667.80, 14,469.30 and 8,501.40 is: 12,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.80 : 14,469.30 = 8,501.40 : x
  2. Step 2: Convert to fraction form
    9,667.80/14,469.30 = 8,501.40/x
  3. Step 3: Cross multiply
    9,667.80x = 14,469.30 × 8,501.40
  4. Step 4: Simplify right side
    9,667.80x = 123,009,307.02
  5. Step 5: Solve for x
    x = 123,009,307.02/9,667.80
  6. Step 6: Final answer
    x = 12,723.61

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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.