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Finding the Fourth Proportional to 6,525.26, 9,783 and 3,927.62

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Solution

The fourth proportional to 6,525.26, 9,783 and 3,927.62 is: 5,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.26 : 9,783 = 3,927.62 : x
  2. Step 2: Convert to fraction form
    6,525.26/9,783 = 3,927.62/x
  3. Step 3: Cross multiply
    6,525.26x = 9,783 × 3,927.62
  4. Step 4: Simplify right side
    6,525.26x = 38,423,906.46
  5. Step 5: Solve for x
    x = 38,423,906.46/6,525.26
  6. Step 6: Final answer
    x = 5,888.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.