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Finding the Fourth Proportional to 7,811, 10,780.46 and 4,500.92

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Solution

The fourth proportional to 7,811, 10,780.46 and 4,500.92 is: 6,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 10,780.46 = 4,500.92 : x
  2. Step 2: Convert to fraction form
    7,811/10,780.46 = 4,500.92/x
  3. Step 3: Cross multiply
    7,811x = 10,780.46 × 4,500.92
  4. Step 4: Simplify right side
    7,811x = 48,521,988.02
  5. Step 5: Solve for x
    x = 48,521,988.02/7,811
  6. Step 6: Final answer
    x = 6,212.01

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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.