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Finding the Fourth Proportional to 9,037.76, 12,471.28 and 5,634.48

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Solution

The fourth proportional to 9,037.76, 12,471.28 and 5,634.48 is: 7,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.76 : 12,471.28 = 5,634.48 : x
  2. Step 2: Convert to fraction form
    9,037.76/12,471.28 = 5,634.48/x
  3. Step 3: Cross multiply
    9,037.76x = 12,471.28 × 5,634.48
  4. Step 4: Simplify right side
    9,037.76x = 70,269,177.73
  5. Step 5: Solve for x
    x = 70,269,177.73/9,037.76
  6. Step 6: Final answer
    x = 7,775.07

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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.