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Finding the Fourth Proportional to 7,125.52, 9,824.34 and 4,471.96

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Solution

The fourth proportional to 7,125.52, 9,824.34 and 4,471.96 is: 6,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.52 : 9,824.34 = 4,471.96 : x
  2. Step 2: Convert to fraction form
    7,125.52/9,824.34 = 4,471.96/x
  3. Step 3: Cross multiply
    7,125.52x = 9,824.34 × 4,471.96
  4. Step 4: Simplify right side
    7,125.52x = 43,934,055.51
  5. Step 5: Solve for x
    x = 43,934,055.51/7,125.52
  6. Step 6: Final answer
    x = 6,165.73

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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.