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Finding the Fourth Proportional to 10,354.73, 14,289.30 and 6,375.74

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Solution

The fourth proportional to 10,354.73, 14,289.30 and 6,375.74 is: 8,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.73 : 14,289.30 = 6,375.74 : x
  2. Step 2: Convert to fraction form
    10,354.73/14,289.30 = 6,375.74/x
  3. Step 3: Cross multiply
    10,354.73x = 14,289.30 × 6,375.74
  4. Step 4: Simplify right side
    10,354.73x = 91,104,790.14
  5. Step 5: Solve for x
    x = 91,104,790.14/10,354.73
  6. Step 6: Final answer
    x = 8,798.38

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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.