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Finding the Fourth Proportional to 6,830.02, 9,425.11 and 3,804.98

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Solution

The fourth proportional to 6,830.02, 9,425.11 and 3,804.98 is: 5,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.02 : 9,425.11 = 3,804.98 : x
  2. Step 2: Convert to fraction form
    6,830.02/9,425.11 = 3,804.98/x
  3. Step 3: Cross multiply
    6,830.02x = 9,425.11 × 3,804.98
  4. Step 4: Simplify right side
    6,830.02x = 35,862,355.05
  5. Step 5: Solve for x
    x = 35,862,355.05/6,830.02
  6. Step 6: Final answer
    x = 5,250.70

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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.