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Finding the Fourth Proportional to 24,340.51, 36,512.05 and 7,702.30

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Solution

The fourth proportional to 24,340.51, 36,512.05 and 7,702.30 is: 11,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.51 : 36,512.05 = 7,702.30 : x
  2. Step 2: Convert to fraction form
    24,340.51/36,512.05 = 7,702.30/x
  3. Step 3: Cross multiply
    24,340.51x = 36,512.05 × 7,702.30
  4. Step 4: Simplify right side
    24,340.51x = 281,226,762.72
  5. Step 5: Solve for x
    x = 281,226,762.72/24,340.51
  6. Step 6: Final answer
    x = 11,553.86

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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.