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Finding the Fourth Proportional to 8,471.59, 11,664.71 and 7,525.74

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Solution

The fourth proportional to 8,471.59, 11,664.71 and 7,525.74 is: 10,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.59 : 11,664.71 = 7,525.74 : x
  2. Step 2: Convert to fraction form
    8,471.59/11,664.71 = 7,525.74/x
  3. Step 3: Cross multiply
    8,471.59x = 11,664.71 × 7,525.74
  4. Step 4: Simplify right side
    8,471.59x = 87,785,478.68
  5. Step 5: Solve for x
    x = 87,785,478.68/8,471.59
  6. Step 6: Final answer
    x = 10,362.34

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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.