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Finding the Fourth Proportional to 6,835.51, 9,433.02 and 3,851.34

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Solution

The fourth proportional to 6,835.51, 9,433.02 and 3,851.34 is: 5,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.51 : 9,433.02 = 3,851.34 : x
  2. Step 2: Convert to fraction form
    6,835.51/9,433.02 = 3,851.34/x
  3. Step 3: Cross multiply
    6,835.51x = 9,433.02 × 3,851.34
  4. Step 4: Simplify right side
    6,835.51x = 36,329,767.25
  5. Step 5: Solve for x
    x = 36,329,767.25/6,835.51
  6. Step 6: Final answer
    x = 5,314.86

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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.