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Finding the Fourth Proportional to 12,568.84, 17,344.30 and 6,904.32

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Solution

The fourth proportional to 12,568.84, 17,344.30 and 6,904.32 is: 9,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.84 : 17,344.30 = 6,904.32 : x
  2. Step 2: Convert to fraction form
    12,568.84/17,344.30 = 6,904.32/x
  3. Step 3: Cross multiply
    12,568.84x = 17,344.30 × 6,904.32
  4. Step 4: Simplify right side
    12,568.84x = 119,750,597.38
  5. Step 5: Solve for x
    x = 119,750,597.38/12,568.84
  6. Step 6: Final answer
    x = 9,527.58

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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.