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Finding the Fourth Proportional to 12,435.76, 17,161.65 and 7,653.92

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Solution

The fourth proportional to 12,435.76, 17,161.65 and 7,653.92 is: 10,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.76 : 17,161.65 = 7,653.92 : x
  2. Step 2: Convert to fraction form
    12,435.76/17,161.65 = 7,653.92/x
  3. Step 3: Cross multiply
    12,435.76x = 17,161.65 × 7,653.92
  4. Step 4: Simplify right side
    12,435.76x = 131,353,896.17
  5. Step 5: Solve for x
    x = 131,353,896.17/12,435.76
  6. Step 6: Final answer
    x = 10,562.59

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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.