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Finding the Fourth Proportional to 14,160.54, 19,541.03 and 7,787.07

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Solution

The fourth proportional to 14,160.54, 19,541.03 and 7,787.07 is: 10,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.54 : 19,541.03 = 7,787.07 : x
  2. Step 2: Convert to fraction form
    14,160.54/19,541.03 = 7,787.07/x
  3. Step 3: Cross multiply
    14,160.54x = 19,541.03 × 7,787.07
  4. Step 4: Simplify right side
    14,160.54x = 152,167,432.03
  5. Step 5: Solve for x
    x = 152,167,432.03/14,160.54
  6. Step 6: Final answer
    x = 10,745.88

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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.