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Finding the Fourth Proportional to 4,541, 6,841.84 and 4,102.76

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Solution

The fourth proportional to 4,541, 6,841.84 and 4,102.76 is: 6,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 6,841.84 = 4,102.76 : x
  2. Step 2: Convert to fraction form
    4,541/6,841.84 = 4,102.76/x
  3. Step 3: Cross multiply
    4,541x = 6,841.84 × 4,102.76
  4. Step 4: Simplify right side
    4,541x = 28,070,427.48
  5. Step 5: Solve for x
    x = 28,070,427.48/4,541
  6. Step 6: Final answer
    x = 6,181.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.