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Finding the Fourth Proportional to 7,853.67, 10,838.07 and 4,316.94

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Solution

The fourth proportional to 7,853.67, 10,838.07 and 4,316.94 is: 5,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.67 : 10,838.07 = 4,316.94 : x
  2. Step 2: Convert to fraction form
    7,853.67/10,838.07 = 4,316.94/x
  3. Step 3: Cross multiply
    7,853.67x = 10,838.07 × 4,316.94
  4. Step 4: Simplify right side
    7,853.67x = 46,787,297.91
  5. Step 5: Solve for x
    x = 46,787,297.91/7,853.67
  6. Step 6: Final answer
    x = 5,957.38

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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.