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Finding the Fourth Proportional to 6,546.78, 9,818.42 and 2,848.14

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Solution

The fourth proportional to 6,546.78, 9,818.42 and 2,848.14 is: 4,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.78 : 9,818.42 = 2,848.14 : x
  2. Step 2: Convert to fraction form
    6,546.78/9,818.42 = 2,848.14/x
  3. Step 3: Cross multiply
    6,546.78x = 9,818.42 × 2,848.14
  4. Step 4: Simplify right side
    6,546.78x = 27,964,220.50
  5. Step 5: Solve for x
    x = 27,964,220.50/6,546.78
  6. Step 6: Final answer
    x = 4,271.45

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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.