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Finding the Fourth Proportional to 6,506.04, 9,736.36 and 5,322.36

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Solution

The fourth proportional to 6,506.04, 9,736.36 and 5,322.36 is: 7,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.04 : 9,736.36 = 5,322.36 : x
  2. Step 2: Convert to fraction form
    6,506.04/9,736.36 = 5,322.36/x
  3. Step 3: Cross multiply
    6,506.04x = 9,736.36 × 5,322.36
  4. Step 4: Simplify right side
    6,506.04x = 51,820,413.01
  5. Step 5: Solve for x
    x = 51,820,413.01/6,506.04
  6. Step 6: Final answer
    x = 7,964.97

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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.