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Finding the Fourth Proportional to 6,172.40, 9,224.64 and 4,509.99

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Solution

The fourth proportional to 6,172.40, 9,224.64 and 4,509.99 is: 6,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.40 : 9,224.64 = 4,509.99 : x
  2. Step 2: Convert to fraction form
    6,172.40/9,224.64 = 4,509.99/x
  3. Step 3: Cross multiply
    6,172.40x = 9,224.64 × 4,509.99
  4. Step 4: Simplify right side
    6,172.40x = 41,603,034.15
  5. Step 5: Solve for x
    x = 41,603,034.15/6,172.40
  6. Step 6: Final answer
    x = 6,740.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.