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Finding the Fourth Proportional to 14,719.40, 22,104.70 and 7,807.40

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Solution

The fourth proportional to 14,719.40, 22,104.70 and 7,807.40 is: 11,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.40 : 22,104.70 = 7,807.40 : x
  2. Step 2: Convert to fraction form
    14,719.40/22,104.70 = 7,807.40/x
  3. Step 3: Cross multiply
    14,719.40x = 22,104.70 × 7,807.40
  4. Step 4: Simplify right side
    14,719.40x = 172,580,234.78
  5. Step 5: Solve for x
    x = 172,580,234.78/14,719.40
  6. Step 6: Final answer
    x = 11,724.68

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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.