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Finding the Fourth Proportional to 13,703.71, 18,898.29 and 9,096.34

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Solution

The fourth proportional to 13,703.71, 18,898.29 and 9,096.34 is: 12,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.71 : 18,898.29 = 9,096.34 : x
  2. Step 2: Convert to fraction form
    13,703.71/18,898.29 = 9,096.34/x
  3. Step 3: Cross multiply
    13,703.71x = 18,898.29 × 9,096.34
  4. Step 4: Simplify right side
    13,703.71x = 171,905,131.29
  5. Step 5: Solve for x
    x = 171,905,131.29/13,703.71
  6. Step 6: Final answer
    x = 12,544.42

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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.