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Finding the Fourth Proportional to 15,092.86, 20,830.64 and 8,380.64

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Solution

The fourth proportional to 15,092.86, 20,830.64 and 8,380.64 is: 11,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.86 : 20,830.64 = 8,380.64 : x
  2. Step 2: Convert to fraction form
    15,092.86/20,830.64 = 8,380.64/x
  3. Step 3: Cross multiply
    15,092.86x = 20,830.64 × 8,380.64
  4. Step 4: Simplify right side
    15,092.86x = 174,574,094.81
  5. Step 5: Solve for x
    x = 174,574,094.81/15,092.86
  6. Step 6: Final answer
    x = 11,566.67

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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.