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Finding the Fourth Proportional to 9,784.06, 14,676.10 and 2,763.80

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Solution

The fourth proportional to 9,784.06, 14,676.10 and 2,763.80 is: 4,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.06 : 14,676.10 = 2,763.80 : x
  2. Step 2: Convert to fraction form
    9,784.06/14,676.10 = 2,763.80/x
  3. Step 3: Cross multiply
    9,784.06x = 14,676.10 × 2,763.80
  4. Step 4: Simplify right side
    9,784.06x = 40,561,805.18
  5. Step 5: Solve for x
    x = 40,561,805.18/9,784.06
  6. Step 6: Final answer
    x = 4,145.70

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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.