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Finding the Fourth Proportional to 17,509.88, 26,266.42 and 6,977.34

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Solution

The fourth proportional to 17,509.88, 26,266.42 and 6,977.34 is: 10,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.88 : 26,266.42 = 6,977.34 : x
  2. Step 2: Convert to fraction form
    17,509.88/26,266.42 = 6,977.34/x
  3. Step 3: Cross multiply
    17,509.88x = 26,266.42 × 6,977.34
  4. Step 4: Simplify right side
    17,509.88x = 183,269,742.92
  5. Step 5: Solve for x
    x = 183,269,742.92/17,509.88
  6. Step 6: Final answer
    x = 10,466.65

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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.