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Finding the Fourth Proportional to 9,674.76, 14,514.96 and 3,100.80

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Solution

The fourth proportional to 9,674.76, 14,514.96 and 3,100.80 is: 4,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.76 : 14,514.96 = 3,100.80 : x
  2. Step 2: Convert to fraction form
    9,674.76/14,514.96 = 3,100.80/x
  3. Step 3: Cross multiply
    9,674.76x = 14,514.96 × 3,100.80
  4. Step 4: Simplify right side
    9,674.76x = 45,007,987.97
  5. Step 5: Solve for x
    x = 45,007,987.97/9,674.76
  6. Step 6: Final answer
    x = 4,652.10

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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.