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Finding the Fourth Proportional to 9,768.16, 13,480.32 and 5,790.16

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Solution

The fourth proportional to 9,768.16, 13,480.32 and 5,790.16 is: 7,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.16 : 13,480.32 = 5,790.16 : x
  2. Step 2: Convert to fraction form
    9,768.16/13,480.32 = 5,790.16/x
  3. Step 3: Cross multiply
    9,768.16x = 13,480.32 × 5,790.16
  4. Step 4: Simplify right side
    9,768.16x = 78,053,209.65
  5. Step 5: Solve for x
    x = 78,053,209.65/9,768.16
  6. Step 6: Final answer
    x = 7,990.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.