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Finding the Fourth Proportional to 7,823, 10,794.06 and 4,637.30

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Solution

The fourth proportional to 7,823, 10,794.06 and 4,637.30 is: 6,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823 : 10,794.06 = 4,637.30 : x
  2. Step 2: Convert to fraction form
    7,823/10,794.06 = 4,637.30/x
  3. Step 3: Cross multiply
    7,823x = 10,794.06 × 4,637.30
  4. Step 4: Simplify right side
    7,823x = 50,055,294.44
  5. Step 5: Solve for x
    x = 50,055,294.44/7,823
  6. Step 6: Final answer
    x = 6,398.48

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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.