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Finding the Fourth Proportional to 6,521.33, 9,734.75 and 5,733.12

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Solution

The fourth proportional to 6,521.33, 9,734.75 and 5,733.12 is: 8,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.33 : 9,734.75 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    6,521.33/9,734.75 = 5,733.12/x
  3. Step 3: Cross multiply
    6,521.33x = 9,734.75 × 5,733.12
  4. Step 4: Simplify right side
    6,521.33x = 55,810,461.25
  5. Step 5: Solve for x
    x = 55,810,461.25/6,521.33
  6. Step 6: Final answer
    x = 8,558.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.