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Finding the Fourth Proportional to 6,029.01, 9,041.85 and 1,646.64

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Solution

The fourth proportional to 6,029.01, 9,041.85 and 1,646.64 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.01 : 9,041.85 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    6,029.01/9,041.85 = 1,646.64/x
  3. Step 3: Cross multiply
    6,029.01x = 9,041.85 × 1,646.64
  4. Step 4: Simplify right side
    6,029.01x = 14,888,671.88
  5. Step 5: Solve for x
    x = 14,888,671.88/6,029.01
  6. Step 6: Final answer
    x = 2,469.51

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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.