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Finding the Fourth Proportional to 11,176.70, 16,765.05 and 9,506.30

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Solution

The fourth proportional to 11,176.70, 16,765.05 and 9,506.30 is: 14,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.70 : 16,765.05 = 9,506.30 : x
  2. Step 2: Convert to fraction form
    11,176.70/16,765.05 = 9,506.30/x
  3. Step 3: Cross multiply
    11,176.70x = 16,765.05 × 9,506.30
  4. Step 4: Simplify right side
    11,176.70x = 159,373,594.82
  5. Step 5: Solve for x
    x = 159,373,594.82/11,176.70
  6. Step 6: Final answer
    x = 14,259.45

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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.