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Finding the Fourth Proportional to 11,471.50, 17,210.14 and 3,263.50

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Solution

The fourth proportional to 11,471.50, 17,210.14 and 3,263.50 is: 4,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.50 : 17,210.14 = 3,263.50 : x
  2. Step 2: Convert to fraction form
    11,471.50/17,210.14 = 3,263.50/x
  3. Step 3: Cross multiply
    11,471.50x = 17,210.14 × 3,263.50
  4. Step 4: Simplify right side
    11,471.50x = 56,165,291.89
  5. Step 5: Solve for x
    x = 56,165,291.89/11,471.50
  6. Step 6: Final answer
    x = 4,896.07

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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.