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Finding the Fourth Proportional to 6,297.10, 9,437.55 and 3,829.30

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Solution

The fourth proportional to 6,297.10, 9,437.55 and 3,829.30 is: 5,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.10 : 9,437.55 = 3,829.30 : x
  2. Step 2: Convert to fraction form
    6,297.10/9,437.55 = 3,829.30/x
  3. Step 3: Cross multiply
    6,297.10x = 9,437.55 × 3,829.30
  4. Step 4: Simplify right side
    6,297.10x = 36,139,210.22
  5. Step 5: Solve for x
    x = 36,139,210.22/6,297.10
  6. Step 6: Final answer
    x = 5,739.02

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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.