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Finding the Fourth Proportional to 9,835.56, 13,667.04 and 9,711.36

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Solution

The fourth proportional to 9,835.56, 13,667.04 and 9,711.36 is: 13,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.56 : 13,667.04 = 9,711.36 : x
  2. Step 2: Convert to fraction form
    9,835.56/13,667.04 = 9,711.36/x
  3. Step 3: Cross multiply
    9,835.56x = 13,667.04 × 9,711.36
  4. Step 4: Simplify right side
    9,835.56x = 132,725,545.57
  5. Step 5: Solve for x
    x = 132,725,545.57/9,835.56
  6. Step 6: Final answer
    x = 13,494.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.