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Finding the Fourth Proportional to 14,415.76, 19,895.52 and 8,128

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Solution

The fourth proportional to 14,415.76, 19,895.52 and 8,128 is: 11,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.76 : 19,895.52 = 8,128 : x
  2. Step 2: Convert to fraction form
    14,415.76/19,895.52 = 8,128/x
  3. Step 3: Cross multiply
    14,415.76x = 19,895.52 × 8,128
  4. Step 4: Simplify right side
    14,415.76x = 161,710,786.56
  5. Step 5: Solve for x
    x = 161,710,786.56/14,415.76
  6. Step 6: Final answer
    x = 11,217.64

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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.