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Finding the Fourth Proportional to 6,708.42, 10,056.42 and 2,547.18

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Solution

The fourth proportional to 6,708.42, 10,056.42 and 2,547.18 is: 3,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.42 : 10,056.42 = 2,547.18 : x
  2. Step 2: Convert to fraction form
    6,708.42/10,056.42 = 2,547.18/x
  3. Step 3: Cross multiply
    6,708.42x = 10,056.42 × 2,547.18
  4. Step 4: Simplify right side
    6,708.42x = 25,615,511.90
  5. Step 5: Solve for x
    x = 25,615,511.90/6,708.42
  6. Step 6: Final answer
    x = 3,818.41

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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.