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Finding the Fourth Proportional to 7,124.92, 9,832.46 and 4,139.66

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Solution

The fourth proportional to 7,124.92, 9,832.46 and 4,139.66 is: 5,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.92 : 9,832.46 = 4,139.66 : x
  2. Step 2: Convert to fraction form
    7,124.92/9,832.46 = 4,139.66/x
  3. Step 3: Cross multiply
    7,124.92x = 9,832.46 × 4,139.66
  4. Step 4: Simplify right side
    7,124.92x = 40,703,041.36
  5. Step 5: Solve for x
    x = 40,703,041.36/7,124.92
  6. Step 6: Final answer
    x = 5,712.77

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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.