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Finding the Fourth Proportional to 6,368.64, 9,590.35 and 5,556.60

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Solution

The fourth proportional to 6,368.64, 9,590.35 and 5,556.60 is: 8,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.64 : 9,590.35 = 5,556.60 : x
  2. Step 2: Convert to fraction form
    6,368.64/9,590.35 = 5,556.60/x
  3. Step 3: Cross multiply
    6,368.64x = 9,590.35 × 5,556.60
  4. Step 4: Simplify right side
    6,368.64x = 53,289,738.81
  5. Step 5: Solve for x
    x = 53,289,738.81/6,368.64
  6. Step 6: Final answer
    x = 8,367.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.