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Finding the Fourth Proportional to 14,106.76, 21,170.76 and 9,653.76

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Solution

The fourth proportional to 14,106.76, 21,170.76 and 9,653.76 is: 14,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.76 : 21,170.76 = 9,653.76 : x
  2. Step 2: Convert to fraction form
    14,106.76/21,170.76 = 9,653.76/x
  3. Step 3: Cross multiply
    14,106.76x = 21,170.76 × 9,653.76
  4. Step 4: Simplify right side
    14,106.76x = 204,377,436.06
  5. Step 5: Solve for x
    x = 204,377,436.06/14,106.76
  6. Step 6: Final answer
    x = 14,487.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.