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Finding the Fourth Proportional to 24,508.64, 36,762.99 and 6,978.48

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Solution

The fourth proportional to 24,508.64, 36,762.99 and 6,978.48 is: 10,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.64 : 36,762.99 = 6,978.48 : x
  2. Step 2: Convert to fraction form
    24,508.64/36,762.99 = 6,978.48/x
  3. Step 3: Cross multiply
    24,508.64x = 36,762.99 × 6,978.48
  4. Step 4: Simplify right side
    24,508.64x = 256,549,790.46
  5. Step 5: Solve for x
    x = 256,549,790.46/24,508.64
  6. Step 6: Final answer
    x = 10,467.73

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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.