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Finding the Fourth Proportional to 7,676.04, 11,450.12 and 7,549.02

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Solution

The fourth proportional to 7,676.04, 11,450.12 and 7,549.02 is: 11,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.04 : 11,450.12 = 7,549.02 : x
  2. Step 2: Convert to fraction form
    7,676.04/11,450.12 = 7,549.02/x
  3. Step 3: Cross multiply
    7,676.04x = 11,450.12 × 7,549.02
  4. Step 4: Simplify right side
    7,676.04x = 86,437,147.14
  5. Step 5: Solve for x
    x = 86,437,147.14/7,676.04
  6. Step 6: Final answer
    x = 11,260.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.