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Finding the Fourth Proportional to 8,051.40, 12,077.10 and 5,098.95

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Solution

The fourth proportional to 8,051.40, 12,077.10 and 5,098.95 is: 7,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.40 : 12,077.10 = 5,098.95 : x
  2. Step 2: Convert to fraction form
    8,051.40/12,077.10 = 5,098.95/x
  3. Step 3: Cross multiply
    8,051.40x = 12,077.10 × 5,098.95
  4. Step 4: Simplify right side
    8,051.40x = 61,580,529.05
  5. Step 5: Solve for x
    x = 61,580,529.05/8,051.40
  6. Step 6: Final answer
    x = 7,648.43

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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.