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Finding the Fourth Proportional to 24,407.52, 36,614.16 and 7,768.32

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Solution

The fourth proportional to 24,407.52, 36,614.16 and 7,768.32 is: 11,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.52 : 36,614.16 = 7,768.32 : x
  2. Step 2: Convert to fraction form
    24,407.52/36,614.16 = 7,768.32/x
  3. Step 3: Cross multiply
    24,407.52x = 36,614.16 × 7,768.32
  4. Step 4: Simplify right side
    24,407.52x = 284,430,511.41
  5. Step 5: Solve for x
    x = 284,430,511.41/24,407.52
  6. Step 6: Final answer
    x = 11,653.40

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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.