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Finding the Fourth Proportional to 6,410.76, 9,602.68 and 4,069.56

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Solution

The fourth proportional to 6,410.76, 9,602.68 and 4,069.56 is: 6,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.76 : 9,602.68 = 4,069.56 : x
  2. Step 2: Convert to fraction form
    6,410.76/9,602.68 = 4,069.56/x
  3. Step 3: Cross multiply
    6,410.76x = 9,602.68 × 4,069.56
  4. Step 4: Simplify right side
    6,410.76x = 39,078,682.42
  5. Step 5: Solve for x
    x = 39,078,682.42/6,410.76
  6. Step 6: Final answer
    x = 6,095.80

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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.