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Finding the Fourth Proportional to 6,938.74, 9,575.40 and 3,794.95

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Solution

The fourth proportional to 6,938.74, 9,575.40 and 3,794.95 is: 5,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.74 : 9,575.40 = 3,794.95 : x
  2. Step 2: Convert to fraction form
    6,938.74/9,575.40 = 3,794.95/x
  3. Step 3: Cross multiply
    6,938.74x = 9,575.40 × 3,794.95
  4. Step 4: Simplify right side
    6,938.74x = 36,338,164.23
  5. Step 5: Solve for x
    x = 36,338,164.23/6,938.74
  6. Step 6: Final answer
    x = 5,237.00

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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.