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Finding the Fourth Proportional to 14,134.80, 19,504.62 and 7,846.50

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Solution

The fourth proportional to 14,134.80, 19,504.62 and 7,846.50 is: 10,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.80 : 19,504.62 = 7,846.50 : x
  2. Step 2: Convert to fraction form
    14,134.80/19,504.62 = 7,846.50/x
  3. Step 3: Cross multiply
    14,134.80x = 19,504.62 × 7,846.50
  4. Step 4: Simplify right side
    14,134.80x = 153,043,000.83
  5. Step 5: Solve for x
    x = 153,043,000.83/14,134.80
  6. Step 6: Final answer
    x = 10,827.39

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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.