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Finding the Fourth Proportional to 12,916.28, 19,374.42 and 9,028.28

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Solution

The fourth proportional to 12,916.28, 19,374.42 and 9,028.28 is: 13,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.28 : 19,374.42 = 9,028.28 : x
  2. Step 2: Convert to fraction form
    12,916.28/19,374.42 = 9,028.28/x
  3. Step 3: Cross multiply
    12,916.28x = 19,374.42 × 9,028.28
  4. Step 4: Simplify right side
    12,916.28x = 174,917,688.60
  5. Step 5: Solve for x
    x = 174,917,688.60/12,916.28
  6. Step 6: Final answer
    x = 13,542.42

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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.