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Finding the Fourth Proportional to 9,782.57, 14,673.76 and 3,208.68

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Solution

The fourth proportional to 9,782.57, 14,673.76 and 3,208.68 is: 4,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.57 : 14,673.76 = 3,208.68 : x
  2. Step 2: Convert to fraction form
    9,782.57/14,673.76 = 3,208.68/x
  3. Step 3: Cross multiply
    9,782.57x = 14,673.76 × 3,208.68
  4. Step 4: Simplify right side
    9,782.57x = 47,083,392.22
  5. Step 5: Solve for x
    x = 47,083,392.22/9,782.57
  6. Step 6: Final answer
    x = 4,812.99

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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.