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Finding the Fourth Proportional to 9,330.88, 13,996.10 and 3,782.74

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Solution

The fourth proportional to 9,330.88, 13,996.10 and 3,782.74 is: 5,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.88 : 13,996.10 = 3,782.74 : x
  2. Step 2: Convert to fraction form
    9,330.88/13,996.10 = 3,782.74/x
  3. Step 3: Cross multiply
    9,330.88x = 13,996.10 × 3,782.74
  4. Step 4: Simplify right side
    9,330.88x = 52,943,607.31
  5. Step 5: Solve for x
    x = 52,943,607.31/9,330.88
  6. Step 6: Final answer
    x = 5,674.02

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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.