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Finding the Fourth Proportional to 11,709.77, 17,547.23 and 7,024.27

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Solution

The fourth proportional to 11,709.77, 17,547.23 and 7,024.27 is: 10,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.77 : 17,547.23 = 7,024.27 : x
  2. Step 2: Convert to fraction form
    11,709.77/17,547.23 = 7,024.27/x
  3. Step 3: Cross multiply
    11,709.77x = 17,547.23 × 7,024.27
  4. Step 4: Simplify right side
    11,709.77x = 123,256,487.87
  5. Step 5: Solve for x
    x = 123,256,487.87/11,709.77
  6. Step 6: Final answer
    x = 10,525.96

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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.