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Finding the Fourth Proportional to 7,871.56, 11,807.84 and 2,606.35

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Solution

The fourth proportional to 7,871.56, 11,807.84 and 2,606.35 is: 3,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.56 : 11,807.84 = 2,606.35 : x
  2. Step 2: Convert to fraction form
    7,871.56/11,807.84 = 2,606.35/x
  3. Step 3: Cross multiply
    7,871.56x = 11,807.84 × 2,606.35
  4. Step 4: Simplify right side
    7,871.56x = 30,775,363.78
  5. Step 5: Solve for x
    x = 30,775,363.78/7,871.56
  6. Step 6: Final answer
    x = 3,909.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.