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Finding the Fourth Proportional to 13,667.70, 18,861.52 and 7,698.80

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Solution

The fourth proportional to 13,667.70, 18,861.52 and 7,698.80 is: 10,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.70 : 18,861.52 = 7,698.80 : x
  2. Step 2: Convert to fraction form
    13,667.70/18,861.52 = 7,698.80/x
  3. Step 3: Cross multiply
    13,667.70x = 18,861.52 × 7,698.80
  4. Step 4: Simplify right side
    13,667.70x = 145,211,070.18
  5. Step 5: Solve for x
    x = 145,211,070.18/13,667.70
  6. Step 6: Final answer
    x = 10,624.40

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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.