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Finding the Fourth Proportional to 7,846.77, 10,824.03 and 4,701.14

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Solution

The fourth proportional to 7,846.77, 10,824.03 and 4,701.14 is: 6,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.77 : 10,824.03 = 4,701.14 : x
  2. Step 2: Convert to fraction form
    7,846.77/10,824.03 = 4,701.14/x
  3. Step 3: Cross multiply
    7,846.77x = 10,824.03 × 4,701.14
  4. Step 4: Simplify right side
    7,846.77x = 50,885,280.39
  5. Step 5: Solve for x
    x = 50,885,280.39/7,846.77
  6. Step 6: Final answer
    x = 6,484.87

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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.