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Finding the Fourth Proportional to 4,365.99, 6,503.94 and 4,097.07

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Solution

The fourth proportional to 4,365.99, 6,503.94 and 4,097.07 is: 6,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.99 : 6,503.94 = 4,097.07 : x
  2. Step 2: Convert to fraction form
    4,365.99/6,503.94 = 4,097.07/x
  3. Step 3: Cross multiply
    4,365.99x = 6,503.94 × 4,097.07
  4. Step 4: Simplify right side
    4,365.99x = 26,647,097.46
  5. Step 5: Solve for x
    x = 26,647,097.46/4,365.99
  6. Step 6: Final answer
    x = 6,103.33

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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.