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Finding the Fourth Proportional to 11,410.64, 17,091.05 and 7,014.77

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Solution

The fourth proportional to 11,410.64, 17,091.05 and 7,014.77 is: 10,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.64 : 17,091.05 = 7,014.77 : x
  2. Step 2: Convert to fraction form
    11,410.64/17,091.05 = 7,014.77/x
  3. Step 3: Cross multiply
    11,410.64x = 17,091.05 × 7,014.77
  4. Step 4: Simplify right side
    11,410.64x = 119,889,664.28
  5. Step 5: Solve for x
    x = 119,889,664.28/11,410.64
  6. Step 6: Final answer
    x = 10,506.84

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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.