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Finding the Fourth Proportional to 6,477.33, 8,942.13 and 4,590.48

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Solution

The fourth proportional to 6,477.33, 8,942.13 and 4,590.48 is: 6,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.33 : 8,942.13 = 4,590.48 : x
  2. Step 2: Convert to fraction form
    6,477.33/8,942.13 = 4,590.48/x
  3. Step 3: Cross multiply
    6,477.33x = 8,942.13 × 4,590.48
  4. Step 4: Simplify right side
    6,477.33x = 41,048,668.92
  5. Step 5: Solve for x
    x = 41,048,668.92/6,477.33
  6. Step 6: Final answer
    x = 6,337.28

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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.