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Finding the Fourth Proportional to 6,842.58, 9,442.76 and 3,698.77

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Solution

The fourth proportional to 6,842.58, 9,442.76 and 3,698.77 is: 5,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.58 : 9,442.76 = 3,698.77 : x
  2. Step 2: Convert to fraction form
    6,842.58/9,442.76 = 3,698.77/x
  3. Step 3: Cross multiply
    6,842.58x = 9,442.76 × 3,698.77
  4. Step 4: Simplify right side
    6,842.58x = 34,926,597.41
  5. Step 5: Solve for x
    x = 34,926,597.41/6,842.58
  6. Step 6: Final answer
    x = 5,104.30

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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.