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Finding the Fourth Proportional to 14,971.40, 22,432.80 and 9,414.80

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Solution

The fourth proportional to 14,971.40, 22,432.80 and 9,414.80 is: 14,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.40 : 22,432.80 = 9,414.80 : x
  2. Step 2: Convert to fraction form
    14,971.40/22,432.80 = 9,414.80/x
  3. Step 3: Cross multiply
    14,971.40x = 22,432.80 × 9,414.80
  4. Step 4: Simplify right side
    14,971.40x = 211,200,325.44
  5. Step 5: Solve for x
    x = 211,200,325.44/14,971.40
  6. Step 6: Final answer
    x = 14,106.92

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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.