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Finding the Fourth Proportional to 7,205.09, 10,807.61 and 1,733.09

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Solution

The fourth proportional to 7,205.09, 10,807.61 and 1,733.09 is: 2,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.09 : 10,807.61 = 1,733.09 : x
  2. Step 2: Convert to fraction form
    7,205.09/10,807.61 = 1,733.09/x
  3. Step 3: Cross multiply
    7,205.09x = 10,807.61 × 1,733.09
  4. Step 4: Simplify right side
    7,205.09x = 18,730,498.11
  5. Step 5: Solve for x
    x = 18,730,498.11/7,205.09
  6. Step 6: Final answer
    x = 2,599.62

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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.