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Finding the Fourth Proportional to 24,973.60, 37,462.32 and 7,442.08

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Solution

The fourth proportional to 24,973.60, 37,462.32 and 7,442.08 is: 11,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.60 : 37,462.32 = 7,442.08 : x
  2. Step 2: Convert to fraction form
    24,973.60/37,462.32 = 7,442.08/x
  3. Step 3: Cross multiply
    24,973.60x = 37,462.32 × 7,442.08
  4. Step 4: Simplify right side
    24,973.60x = 278,797,582.43
  5. Step 5: Solve for x
    x = 278,797,582.43/24,973.60
  6. Step 6: Final answer
    x = 11,163.69

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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.