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Finding the Fourth Proportional to 6,842.46, 9,442.59 and 3,698.64

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Solution

The fourth proportional to 6,842.46, 9,442.59 and 3,698.64 is: 5,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.46 : 9,442.59 = 3,698.64 : x
  2. Step 2: Convert to fraction form
    6,842.46/9,442.59 = 3,698.64/x
  3. Step 3: Cross multiply
    6,842.46x = 9,442.59 × 3,698.64
  4. Step 4: Simplify right side
    6,842.46x = 34,924,741.08
  5. Step 5: Solve for x
    x = 34,924,741.08/6,842.46
  6. Step 6: Final answer
    x = 5,104.12

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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.