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Finding the Fourth Proportional to 3,006.01, 4,509.27 and 814.76

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Solution

The fourth proportional to 3,006.01, 4,509.27 and 814.76 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.01 : 4,509.27 = 814.76 : x
  2. Step 2: Convert to fraction form
    3,006.01/4,509.27 = 814.76/x
  3. Step 3: Cross multiply
    3,006.01x = 4,509.27 × 814.76
  4. Step 4: Simplify right side
    3,006.01x = 3,673,967.19
  5. Step 5: Solve for x
    x = 3,673,967.19/3,006.01
  6. Step 6: Final answer
    x = 1,222.21

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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.