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Finding the Fourth Proportional to 6,090.78, 8,409.16 and 4,974.38

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Solution

The fourth proportional to 6,090.78, 8,409.16 and 4,974.38 is: 6,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.78 : 8,409.16 = 4,974.38 : x
  2. Step 2: Convert to fraction form
    6,090.78/8,409.16 = 4,974.38/x
  3. Step 3: Cross multiply
    6,090.78x = 8,409.16 × 4,974.38
  4. Step 4: Simplify right side
    6,090.78x = 41,830,357.32
  5. Step 5: Solve for x
    x = 41,830,357.32/6,090.78
  6. Step 6: Final answer
    x = 6,867.82

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Double scale
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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.