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Finding the Fourth Proportional to 4,697.64, 7,055.10 and 4,114.44

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Solution

The fourth proportional to 4,697.64, 7,055.10 and 4,114.44 is: 6,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.64 : 7,055.10 = 4,114.44 : x
  2. Step 2: Convert to fraction form
    4,697.64/7,055.10 = 4,114.44/x
  3. Step 3: Cross multiply
    4,697.64x = 7,055.10 × 4,114.44
  4. Step 4: Simplify right side
    4,697.64x = 29,027,785.64
  5. Step 5: Solve for x
    x = 29,027,785.64/4,697.64
  6. Step 6: Final answer
    x = 6,179.23

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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.