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Finding the Fourth Proportional to 7,263.77, 10,899.29 and 2,884.30

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Solution

The fourth proportional to 7,263.77, 10,899.29 and 2,884.30 is: 4,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.77 : 10,899.29 = 2,884.30 : x
  2. Step 2: Convert to fraction form
    7,263.77/10,899.29 = 2,884.30/x
  3. Step 3: Cross multiply
    7,263.77x = 10,899.29 × 2,884.30
  4. Step 4: Simplify right side
    7,263.77x = 31,436,802.11
  5. Step 5: Solve for x
    x = 31,436,802.11/7,263.77
  6. Step 6: Final answer
    x = 4,327.89

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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.