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Finding the Fourth Proportional to 12,491.30, 17,237.47 and 6,826.24

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Solution

The fourth proportional to 12,491.30, 17,237.47 and 6,826.24 is: 9,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.30 : 17,237.47 = 6,826.24 : x
  2. Step 2: Convert to fraction form
    12,491.30/17,237.47 = 6,826.24/x
  3. Step 3: Cross multiply
    12,491.30x = 17,237.47 × 6,826.24
  4. Step 4: Simplify right side
    12,491.30x = 117,666,986.89
  5. Step 5: Solve for x
    x = 117,666,986.89/12,491.30
  6. Step 6: Final answer
    x = 9,419.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.