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Finding the Fourth Proportional to 4,967.54, 7,440.64 and 4,676.75

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Solution

The fourth proportional to 4,967.54, 7,440.64 and 4,676.75 is: 7,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.54 : 7,440.64 = 4,676.75 : x
  2. Step 2: Convert to fraction form
    4,967.54/7,440.64 = 4,676.75/x
  3. Step 3: Cross multiply
    4,967.54x = 7,440.64 × 4,676.75
  4. Step 4: Simplify right side
    4,967.54x = 34,797,964.22
  5. Step 5: Solve for x
    x = 34,797,964.22/4,967.54
  6. Step 6: Final answer
    x = 7,005.08

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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.