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Finding the Fourth Proportional to 9,668.80, 14,494.83 and 5,765.01

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Solution

The fourth proportional to 9,668.80, 14,494.83 and 5,765.01 is: 8,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.80 : 14,494.83 = 5,765.01 : x
  2. Step 2: Convert to fraction form
    9,668.80/14,494.83 = 5,765.01/x
  3. Step 3: Cross multiply
    9,668.80x = 14,494.83 × 5,765.01
  4. Step 4: Simplify right side
    9,668.80x = 83,562,767.42
  5. Step 5: Solve for x
    x = 83,562,767.42/9,668.80
  6. Step 6: Final answer
    x = 8,642.52

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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.