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Finding the Fourth Proportional to 8,357.80, 12,536.70 and 8,228.20

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Solution

The fourth proportional to 8,357.80, 12,536.70 and 8,228.20 is: 12,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.80 : 12,536.70 = 8,228.20 : x
  2. Step 2: Convert to fraction form
    8,357.80/12,536.70 = 8,228.20/x
  3. Step 3: Cross multiply
    8,357.80x = 12,536.70 × 8,228.20
  4. Step 4: Simplify right side
    8,357.80x = 103,154,474.94
  5. Step 5: Solve for x
    x = 103,154,474.94/8,357.80
  6. Step 6: Final answer
    x = 12,342.30

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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.