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Finding the Fourth Proportional to 10,766.88, 14,884.80 and 10,668.32

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Solution

The fourth proportional to 10,766.88, 14,884.80 and 10,668.32 is: 14,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.88 : 14,884.80 = 10,668.32 : x
  2. Step 2: Convert to fraction form
    10,766.88/14,884.80 = 10,668.32/x
  3. Step 3: Cross multiply
    10,766.88x = 14,884.80 × 10,668.32
  4. Step 4: Simplify right side
    10,766.88x = 158,795,809.54
  5. Step 5: Solve for x
    x = 158,795,809.54/10,766.88
  6. Step 6: Final answer
    x = 14,748.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.