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Finding the Fourth Proportional to 13,594.95, 18,756.51 and 8,219.04

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Solution

The fourth proportional to 13,594.95, 18,756.51 and 8,219.04 is: 11,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.95 : 18,756.51 = 8,219.04 : x
  2. Step 2: Convert to fraction form
    13,594.95/18,756.51 = 8,219.04/x
  3. Step 3: Cross multiply
    13,594.95x = 18,756.51 × 8,219.04
  4. Step 4: Simplify right side
    13,594.95x = 154,160,505.95
  5. Step 5: Solve for x
    x = 154,160,505.95/13,594.95
  6. Step 6: Final answer
    x = 11,339.54

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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.