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Finding the Fourth Proportional to 7,003.97, 10,506.00 and 1,809.84

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Solution

The fourth proportional to 7,003.97, 10,506.00 and 1,809.84 is: 2,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.97 : 10,506.00 = 1,809.84 : x
  2. Step 2: Convert to fraction form
    7,003.97/10,506.00 = 1,809.84/x
  3. Step 3: Cross multiply
    7,003.97x = 10,506.00 × 1,809.84
  4. Step 4: Simplify right side
    7,003.97x = 19,014,225.22
  5. Step 5: Solve for x
    x = 19,014,225.22/7,003.97
  6. Step 6: Final answer
    x = 2,714.78

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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.