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Finding the Fourth Proportional to 6,100.02, 9,150.03 and 1,482.98

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Solution

The fourth proportional to 6,100.02, 9,150.03 and 1,482.98 is: 2,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.02 : 9,150.03 = 1,482.98 : x
  2. Step 2: Convert to fraction form
    6,100.02/9,150.03 = 1,482.98/x
  3. Step 3: Cross multiply
    6,100.02x = 9,150.03 × 1,482.98
  4. Step 4: Simplify right side
    6,100.02x = 13,569,311.49
  5. Step 5: Solve for x
    x = 13,569,311.49/6,100.02
  6. Step 6: Final answer
    x = 2,224.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.