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Finding the Fourth Proportional to 12,648.96, 17,468.16 and 10,775.04

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Solution

The fourth proportional to 12,648.96, 17,468.16 and 10,775.04 is: 14,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.96 : 17,468.16 = 10,775.04 : x
  2. Step 2: Convert to fraction form
    12,648.96/17,468.16 = 10,775.04/x
  3. Step 3: Cross multiply
    12,648.96x = 17,468.16 × 10,775.04
  4. Step 4: Simplify right side
    12,648.96x = 188,220,122.73
  5. Step 5: Solve for x
    x = 188,220,122.73/12,648.96
  6. Step 6: Final answer
    x = 14,880.28

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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.