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Finding the Fourth Proportional to 6,093.65, 8,409.18 and 3,441

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Solution

The fourth proportional to 6,093.65, 8,409.18 and 3,441 is: 4,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.65 : 8,409.18 = 3,441 : x
  2. Step 2: Convert to fraction form
    6,093.65/8,409.18 = 3,441/x
  3. Step 3: Cross multiply
    6,093.65x = 8,409.18 × 3,441
  4. Step 4: Simplify right side
    6,093.65x = 28,935,988.38
  5. Step 5: Solve for x
    x = 28,935,988.38/6,093.65
  6. Step 6: Final answer
    x = 4,748.55

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1.5x scale

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.