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Finding the Fourth Proportional to 10,047.56, 15,073.78 and 4,504.76

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Solution

The fourth proportional to 10,047.56, 15,073.78 and 4,504.76 is: 6,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.56 : 15,073.78 = 4,504.76 : x
  2. Step 2: Convert to fraction form
    10,047.56/15,073.78 = 4,504.76/x
  3. Step 3: Cross multiply
    10,047.56x = 15,073.78 × 4,504.76
  4. Step 4: Simplify right side
    10,047.56x = 67,903,843.33
  5. Step 5: Solve for x
    x = 67,903,843.33/10,047.56
  6. Step 6: Final answer
    x = 6,758.24

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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.