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Finding the Fourth Proportional to 5,597.69, 7,728.14 and 4,974.91

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Solution

The fourth proportional to 5,597.69, 7,728.14 and 4,974.91 is: 6,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.69 : 7,728.14 = 4,974.91 : x
  2. Step 2: Convert to fraction form
    5,597.69/7,728.14 = 4,974.91/x
  3. Step 3: Cross multiply
    5,597.69x = 7,728.14 × 4,974.91
  4. Step 4: Simplify right side
    5,597.69x = 38,446,821.63
  5. Step 5: Solve for x
    x = 38,446,821.63/5,597.69
  6. Step 6: Final answer
    x = 6,868.33

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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.