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Finding the Fourth Proportional to 13,384.90, 20,077.35 and 6,823.90

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Solution

The fourth proportional to 13,384.90, 20,077.35 and 6,823.90 is: 10,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.90 : 20,077.35 = 6,823.90 : x
  2. Step 2: Convert to fraction form
    13,384.90/20,077.35 = 6,823.90/x
  3. Step 3: Cross multiply
    13,384.90x = 20,077.35 × 6,823.90
  4. Step 4: Simplify right side
    13,384.90x = 137,005,828.67
  5. Step 5: Solve for x
    x = 137,005,828.67/13,384.90
  6. Step 6: Final answer
    x = 10,235.85

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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.