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Finding the Fourth Proportional to 14,147.52, 19,523.84 and 7,860.48

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Solution

The fourth proportional to 14,147.52, 19,523.84 and 7,860.48 is: 10,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.52 : 19,523.84 = 7,860.48 : x
  2. Step 2: Convert to fraction form
    14,147.52/19,523.84 = 7,860.48/x
  3. Step 3: Cross multiply
    14,147.52x = 19,523.84 × 7,860.48
  4. Step 4: Simplify right side
    14,147.52x = 153,466,753.84
  5. Step 5: Solve for x
    x = 153,466,753.84/14,147.52
  6. Step 6: Final answer
    x = 10,847.61

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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.