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Finding the Fourth Proportional to 6,094.02, 8,409.90 and 3,578.10

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Solution

The fourth proportional to 6,094.02, 8,409.90 and 3,578.10 is: 4,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.02 : 8,409.90 = 3,578.10 : x
  2. Step 2: Convert to fraction form
    6,094.02/8,409.90 = 3,578.10/x
  3. Step 3: Cross multiply
    6,094.02x = 8,409.90 × 3,578.10
  4. Step 4: Simplify right side
    6,094.02x = 30,091,463.19
  5. Step 5: Solve for x
    x = 30,091,463.19/6,094.02
  6. Step 6: Final answer
    x = 4,937.87

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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.