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Finding the Fourth Proportional to 7,845, 10,827.06 and 4,533

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Solution

The fourth proportional to 7,845, 10,827.06 and 4,533 is: 6,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 10,827.06 = 4,533 : x
  2. Step 2: Convert to fraction form
    7,845/10,827.06 = 4,533/x
  3. Step 3: Cross multiply
    7,845x = 10,827.06 × 4,533
  4. Step 4: Simplify right side
    7,845x = 49,079,062.98
  5. Step 5: Solve for x
    x = 49,079,062.98/7,845
  6. Step 6: Final answer
    x = 6,256.09

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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.