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Finding the Fourth Proportional to 7,000.77, 9,661.50 and 3,856.96

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Solution

The fourth proportional to 7,000.77, 9,661.50 and 3,856.96 is: 5,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.77 : 9,661.50 = 3,856.96 : x
  2. Step 2: Convert to fraction form
    7,000.77/9,661.50 = 3,856.96/x
  3. Step 3: Cross multiply
    7,000.77x = 9,661.50 × 3,856.96
  4. Step 4: Simplify right side
    7,000.77x = 37,263,994.89
  5. Step 5: Solve for x
    x = 37,263,994.89/7,000.77
  6. Step 6: Final answer
    x = 5,322.84

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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.