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Finding the Fourth Proportional to 14,074.76, 19,423.56 and 7,787.56

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Solution

The fourth proportional to 14,074.76, 19,423.56 and 7,787.56 is: 10,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.76 : 19,423.56 = 7,787.56 : x
  2. Step 2: Convert to fraction form
    14,074.76/19,423.56 = 7,787.56/x
  3. Step 3: Cross multiply
    14,074.76x = 19,423.56 × 7,787.56
  4. Step 4: Simplify right side
    14,074.76x = 151,262,138.91
  5. Step 5: Solve for x
    x = 151,262,138.91/14,074.76
  6. Step 6: Final answer
    x = 10,747.05

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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.