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Finding the Fourth Proportional to 11,211.44, 16,875.62 and 9,520.16

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Solution

The fourth proportional to 11,211.44, 16,875.62 and 9,520.16 is: 14,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.44 : 16,875.62 = 9,520.16 : x
  2. Step 2: Convert to fraction form
    11,211.44/16,875.62 = 9,520.16/x
  3. Step 3: Cross multiply
    11,211.44x = 16,875.62 × 9,520.16
  4. Step 4: Simplify right side
    11,211.44x = 160,658,602.50
  5. Step 5: Solve for x
    x = 160,658,602.50/11,211.44
  6. Step 6: Final answer
    x = 14,329.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.