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Finding the Fourth Proportional to 9,778.83, 14,668.29 and 2,383.32

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Solution

The fourth proportional to 9,778.83, 14,668.29 and 2,383.32 is: 3,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.83 : 14,668.29 = 2,383.32 : x
  2. Step 2: Convert to fraction form
    9,778.83/14,668.29 = 2,383.32/x
  3. Step 3: Cross multiply
    9,778.83x = 14,668.29 × 2,383.32
  4. Step 4: Simplify right side
    9,778.83x = 34,959,228.92
  5. Step 5: Solve for x
    x = 34,959,228.92/9,778.83
  6. Step 6: Final answer
    x = 3,574.99

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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.