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Finding the Fourth Proportional to 24,774.86, 37,163.52 and 8,128.16

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Solution

The fourth proportional to 24,774.86, 37,163.52 and 8,128.16 is: 12,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.86 : 37,163.52 = 8,128.16 : x
  2. Step 2: Convert to fraction form
    24,774.86/37,163.52 = 8,128.16/x
  3. Step 3: Cross multiply
    24,774.86x = 37,163.52 × 8,128.16
  4. Step 4: Simplify right side
    24,774.86x = 302,071,036.72
  5. Step 5: Solve for x
    x = 302,071,036.72/24,774.86
  6. Step 6: Final answer
    x = 12,192.64

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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.