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Finding the Fourth Proportional to 14,096.71, 21,134.99 and 7,071.58

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Solution

The fourth proportional to 14,096.71, 21,134.99 and 7,071.58 is: 10,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.71 : 21,134.99 = 7,071.58 : x
  2. Step 2: Convert to fraction form
    14,096.71/21,134.99 = 7,071.58/x
  3. Step 3: Cross multiply
    14,096.71x = 21,134.99 × 7,071.58
  4. Step 4: Simplify right side
    14,096.71x = 149,457,772.58
  5. Step 5: Solve for x
    x = 149,457,772.58/14,096.71
  6. Step 6: Final answer
    x = 10,602.32

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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.