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Finding the Fourth Proportional to 24,962.34, 37,442.80 and 6,494.34

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Solution

The fourth proportional to 24,962.34, 37,442.80 and 6,494.34 is: 9,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,962.34 : 37,442.80 = 6,494.34 : x
  2. Step 2: Convert to fraction form
    24,962.34/37,442.80 = 6,494.34/x
  3. Step 3: Cross multiply
    24,962.34x = 37,442.80 × 6,494.34
  4. Step 4: Simplify right side
    24,962.34x = 243,166,273.75
  5. Step 5: Solve for x
    x = 243,166,273.75/24,962.34
  6. Step 6: Final answer
    x = 9,741.33

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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.