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Finding the Fourth Proportional to 5,976.81, 8,966.81 and 5,323.16

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Solution

The fourth proportional to 5,976.81, 8,966.81 and 5,323.16 is: 7,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.81 : 8,966.81 = 5,323.16 : x
  2. Step 2: Convert to fraction form
    5,976.81/8,966.81 = 5,323.16/x
  3. Step 3: Cross multiply
    5,976.81x = 8,966.81 × 5,323.16
  4. Step 4: Simplify right side
    5,976.81x = 47,731,764.32
  5. Step 5: Solve for x
    x = 47,731,764.32/5,976.81
  6. Step 6: Final answer
    x = 7,986.16

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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.