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Finding the Fourth Proportional to 19,697.40, 29,546.10 and 19,405.80

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Solution

The fourth proportional to 19,697.40, 29,546.10 and 19,405.80 is: 29,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.40 : 29,546.10 = 19,405.80 : x
  2. Step 2: Convert to fraction form
    19,697.40/29,546.10 = 19,405.80/x
  3. Step 3: Cross multiply
    19,697.40x = 29,546.10 × 19,405.80
  4. Step 4: Simplify right side
    19,697.40x = 573,365,707.38
  5. Step 5: Solve for x
    x = 573,365,707.38/19,697.40
  6. Step 6: Final answer
    x = 29,108.70

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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.