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Finding the Fourth Proportional to 9,510.84, 13,131.39 and 5,927.22

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Solution

The fourth proportional to 9,510.84, 13,131.39 and 5,927.22 is: 8,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.84 : 13,131.39 = 5,927.22 : x
  2. Step 2: Convert to fraction form
    9,510.84/13,131.39 = 5,927.22/x
  3. Step 3: Cross multiply
    9,510.84x = 13,131.39 × 5,927.22
  4. Step 4: Simplify right side
    9,510.84x = 77,832,637.44
  5. Step 5: Solve for x
    x = 77,832,637.44/9,510.84
  6. Step 6: Final answer
    x = 8,183.57

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Double scale
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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.