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Finding the Fourth Proportional to 6,277.03, 9,415.59 and 1,597.04

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Solution

The fourth proportional to 6,277.03, 9,415.59 and 1,597.04 is: 2,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.03 : 9,415.59 = 1,597.04 : x
  2. Step 2: Convert to fraction form
    6,277.03/9,415.59 = 1,597.04/x
  3. Step 3: Cross multiply
    6,277.03x = 9,415.59 × 1,597.04
  4. Step 4: Simplify right side
    6,277.03x = 15,037,054.31
  5. Step 5: Solve for x
    x = 15,037,054.31/6,277.03
  6. Step 6: Final answer
    x = 2,395.57

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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.