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Finding the Fourth Proportional to 4,912.65, 6,779.73 and 4,736.24

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Solution

The fourth proportional to 4,912.65, 6,779.73 and 4,736.24 is: 6,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.65 : 6,779.73 = 4,736.24 : x
  2. Step 2: Convert to fraction form
    4,912.65/6,779.73 = 4,736.24/x
  3. Step 3: Cross multiply
    4,912.65x = 6,779.73 × 4,736.24
  4. Step 4: Simplify right side
    4,912.65x = 32,110,394.52
  5. Step 5: Solve for x
    x = 32,110,394.52/4,912.65
  6. Step 6: Final answer
    x = 6,536.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.