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Finding the Fourth Proportional to 6,410.37, 9,612.51 and 4,069.08

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Solution

The fourth proportional to 6,410.37, 9,612.51 and 4,069.08 is: 6,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.37 : 9,612.51 = 4,069.08 : x
  2. Step 2: Convert to fraction form
    6,410.37/9,612.51 = 4,069.08/x
  3. Step 3: Cross multiply
    6,410.37x = 9,612.51 × 4,069.08
  4. Step 4: Simplify right side
    6,410.37x = 39,114,072.19
  5. Step 5: Solve for x
    x = 39,114,072.19/6,410.37
  6. Step 6: Final answer
    x = 6,101.69

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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.