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Finding the Fourth Proportional to 6,336.69, 9,505.16 and 1,954.14

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Solution

The fourth proportional to 6,336.69, 9,505.16 and 1,954.14 is: 2,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.69 : 9,505.16 = 1,954.14 : x
  2. Step 2: Convert to fraction form
    6,336.69/9,505.16 = 1,954.14/x
  3. Step 3: Cross multiply
    6,336.69x = 9,505.16 × 1,954.14
  4. Step 4: Simplify right side
    6,336.69x = 18,574,413.36
  5. Step 5: Solve for x
    x = 18,574,413.36/6,336.69
  6. Step 6: Final answer
    x = 2,931.25

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1.5x scale

Why These Related Problems?

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