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Finding the Fourth Proportional to 24,697.40, 37,046.10 and 6,229.40

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Solution

The fourth proportional to 24,697.40, 37,046.10 and 6,229.40 is: 9,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.40 : 37,046.10 = 6,229.40 : x
  2. Step 2: Convert to fraction form
    24,697.40/37,046.10 = 6,229.40/x
  3. Step 3: Cross multiply
    24,697.40x = 37,046.10 × 6,229.40
  4. Step 4: Simplify right side
    24,697.40x = 230,774,975.34
  5. Step 5: Solve for x
    x = 230,774,975.34/24,697.40
  6. Step 6: Final answer
    x = 9,344.10

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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.