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Finding the Fourth Proportional to 9,668.83, 14,506.70 and 5,966.75

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Solution

The fourth proportional to 9,668.83, 14,506.70 and 5,966.75 is: 8,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.83 : 14,506.70 = 5,966.75 : x
  2. Step 2: Convert to fraction form
    9,668.83/14,506.70 = 5,966.75/x
  3. Step 3: Cross multiply
    9,668.83x = 14,506.70 × 5,966.75
  4. Step 4: Simplify right side
    9,668.83x = 86,557,852.23
  5. Step 5: Solve for x
    x = 86,557,852.23/9,668.83
  6. Step 6: Final answer
    x = 8,952.26

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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.