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Finding the Fourth Proportional to 13,000.56, 17,947.40 and 9,014.75

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Solution

The fourth proportional to 13,000.56, 17,947.40 and 9,014.75 is: 12,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.56 : 17,947.40 = 9,014.75 : x
  2. Step 2: Convert to fraction form
    13,000.56/17,947.40 = 9,014.75/x
  3. Step 3: Cross multiply
    13,000.56x = 17,947.40 × 9,014.75
  4. Step 4: Simplify right side
    13,000.56x = 161,791,324.15
  5. Step 5: Solve for x
    x = 161,791,324.15/13,000.56
  6. Step 6: Final answer
    x = 12,444.95

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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.