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Finding the Fourth Proportional to 14,573.70, 20,108.25 and 8,289.54

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Solution

The fourth proportional to 14,573.70, 20,108.25 and 8,289.54 is: 11,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.70 : 20,108.25 = 8,289.54 : x
  2. Step 2: Convert to fraction form
    14,573.70/20,108.25 = 8,289.54/x
  3. Step 3: Cross multiply
    14,573.70x = 20,108.25 × 8,289.54
  4. Step 4: Simplify right side
    14,573.70x = 166,688,142.71
  5. Step 5: Solve for x
    x = 166,688,142.71/14,573.70
  6. Step 6: Final answer
    x = 11,437.60

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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.