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Finding the Fourth Proportional to 4,666.01, 6,998.13 and 1,546.07

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Solution

The fourth proportional to 4,666.01, 6,998.13 and 1,546.07 is: 2,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.01 : 6,998.13 = 1,546.07 : x
  2. Step 2: Convert to fraction form
    4,666.01/6,998.13 = 1,546.07/x
  3. Step 3: Cross multiply
    4,666.01x = 6,998.13 × 1,546.07
  4. Step 4: Simplify right side
    4,666.01x = 10,819,563.86
  5. Step 5: Solve for x
    x = 10,819,563.86/4,666.01
  6. Step 6: Final answer
    x = 2,318.81

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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.