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Finding the Fourth Proportional to 6,503.55, 9,756.74 and 2,121.45

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Solution

The fourth proportional to 6,503.55, 9,756.74 and 2,121.45 is: 3,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.55 : 9,756.74 = 2,121.45 : x
  2. Step 2: Convert to fraction form
    6,503.55/9,756.74 = 2,121.45/x
  3. Step 3: Cross multiply
    6,503.55x = 9,756.74 × 2,121.45
  4. Step 4: Simplify right side
    6,503.55x = 20,698,436.07
  5. Step 5: Solve for x
    x = 20,698,436.07/6,503.55
  6. Step 6: Final answer
    x = 3,182.64

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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.