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Finding the Fourth Proportional to 6,536.34, 9,804.42 and 2,376.18

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Solution

The fourth proportional to 6,536.34, 9,804.42 and 2,376.18 is: 3,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.34 : 9,804.42 = 2,376.18 : x
  2. Step 2: Convert to fraction form
    6,536.34/9,804.42 = 2,376.18/x
  3. Step 3: Cross multiply
    6,536.34x = 9,804.42 × 2,376.18
  4. Step 4: Simplify right side
    6,536.34x = 23,297,066.72
  5. Step 5: Solve for x
    x = 23,297,066.72/6,536.34
  6. Step 6: Final answer
    x = 3,564.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.