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Finding the Fourth Proportional to 11,778.40, 17,667.60 and 9,877.60

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Solution

The fourth proportional to 11,778.40, 17,667.60 and 9,877.60 is: 14,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.40 : 17,667.60 = 9,877.60 : x
  2. Step 2: Convert to fraction form
    11,778.40/17,667.60 = 9,877.60/x
  3. Step 3: Cross multiply
    11,778.40x = 17,667.60 × 9,877.60
  4. Step 4: Simplify right side
    11,778.40x = 174,513,485.76
  5. Step 5: Solve for x
    x = 174,513,485.76/11,778.40
  6. Step 6: Final answer
    x = 14,816.40

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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.