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Finding the Fourth Proportional to 8,114.71, 12,171.90 and 4,953.08

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Solution

The fourth proportional to 8,114.71, 12,171.90 and 4,953.08 is: 7,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.71 : 12,171.90 = 4,953.08 : x
  2. Step 2: Convert to fraction form
    8,114.71/12,171.90 = 4,953.08/x
  3. Step 3: Cross multiply
    8,114.71x = 12,171.90 × 4,953.08
  4. Step 4: Simplify right side
    8,114.71x = 60,288,394.45
  5. Step 5: Solve for x
    x = 60,288,394.45/8,114.71
  6. Step 6: Final answer
    x = 7,429.52

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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.