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Finding the Fourth Proportional to 4,666.77, 6,998.76 and 1,546.11

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Solution

The fourth proportional to 4,666.77, 6,998.76 and 1,546.11 is: 2,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.77 : 6,998.76 = 1,546.11 : x
  2. Step 2: Convert to fraction form
    4,666.77/6,998.76 = 1,546.11/x
  3. Step 3: Cross multiply
    4,666.77x = 6,998.76 × 1,546.11
  4. Step 4: Simplify right side
    4,666.77x = 10,820,852.82
  5. Step 5: Solve for x
    x = 10,820,852.82/4,666.77
  6. Step 6: Final answer
    x = 2,318.70

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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.