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Finding the Fourth Proportional to 14,432.70, 21,649.80 and 7,043.46

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Solution

The fourth proportional to 14,432.70, 21,649.80 and 7,043.46 is: 10,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.70 : 21,649.80 = 7,043.46 : x
  2. Step 2: Convert to fraction form
    14,432.70/21,649.80 = 7,043.46/x
  3. Step 3: Cross multiply
    14,432.70x = 21,649.80 × 7,043.46
  4. Step 4: Simplify right side
    14,432.70x = 152,489,500.31
  5. Step 5: Solve for x
    x = 152,489,500.31/14,432.70
  6. Step 6: Final answer
    x = 10,565.56

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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.