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Finding the Fourth Proportional to 8,826.14, 12,180.64 and 5,100.14

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Solution

The fourth proportional to 8,826.14, 12,180.64 and 5,100.14 is: 7,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.14 : 12,180.64 = 5,100.14 : x
  2. Step 2: Convert to fraction form
    8,826.14/12,180.64 = 5,100.14/x
  3. Step 3: Cross multiply
    8,826.14x = 12,180.64 × 5,100.14
  4. Step 4: Simplify right side
    8,826.14x = 62,122,969.29
  5. Step 5: Solve for x
    x = 62,122,969.29/8,826.14
  6. Step 6: Final answer
    x = 7,038.52

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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.