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Finding the Fourth Proportional to 6,894.52, 10,341.90 and 2,277.64

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Solution

The fourth proportional to 6,894.52, 10,341.90 and 2,277.64 is: 3,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.52 : 10,341.90 = 2,277.64 : x
  2. Step 2: Convert to fraction form
    6,894.52/10,341.90 = 2,277.64/x
  3. Step 3: Cross multiply
    6,894.52x = 10,341.90 × 2,277.64
  4. Step 4: Simplify right side
    6,894.52x = 23,555,125.12
  5. Step 5: Solve for x
    x = 23,555,125.12/6,894.52
  6. Step 6: Final answer
    x = 3,416.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.