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Finding the Fourth Proportional to 7,463.94, 10,301.91 and 5,845.64

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Solution

The fourth proportional to 7,463.94, 10,301.91 and 5,845.64 is: 8,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.94 : 10,301.91 = 5,845.64 : x
  2. Step 2: Convert to fraction form
    7,463.94/10,301.91 = 5,845.64/x
  3. Step 3: Cross multiply
    7,463.94x = 10,301.91 × 5,845.64
  4. Step 4: Simplify right side
    7,463.94x = 60,221,257.17
  5. Step 5: Solve for x
    x = 60,221,257.17/7,463.94
  6. Step 6: Final answer
    x = 8,068.29

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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.