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Finding the Fourth Proportional to 6,674.15, 9,985.78 and 4,141.63

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Solution

The fourth proportional to 6,674.15, 9,985.78 and 4,141.63 is: 6,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.15 : 9,985.78 = 4,141.63 : x
  2. Step 2: Convert to fraction form
    6,674.15/9,985.78 = 4,141.63/x
  3. Step 3: Cross multiply
    6,674.15x = 9,985.78 × 4,141.63
  4. Step 4: Simplify right side
    6,674.15x = 41,357,423.68
  5. Step 5: Solve for x
    x = 41,357,423.68/6,674.15
  6. Step 6: Final answer
    x = 6,196.66

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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.