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Finding the Fourth Proportional to 14,527.42, 20,057.46 and 11,164

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Solution

The fourth proportional to 14,527.42, 20,057.46 and 11,164 is: 15,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.42 : 20,057.46 = 11,164 : x
  2. Step 2: Convert to fraction form
    14,527.42/20,057.46 = 11,164/x
  3. Step 3: Cross multiply
    14,527.42x = 20,057.46 × 11,164
  4. Step 4: Simplify right side
    14,527.42x = 223,921,483.44
  5. Step 5: Solve for x
    x = 223,921,483.44/14,527.42
  6. Step 6: Final answer
    x = 15,413.71

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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.