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Finding the Fourth Proportional to 24,312.25, 36,468.38 and 7,896.25

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Solution

The fourth proportional to 24,312.25, 36,468.38 and 7,896.25 is: 11,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.25 : 36,468.38 = 7,896.25 : x
  2. Step 2: Convert to fraction form
    24,312.25/36,468.38 = 7,896.25/x
  3. Step 3: Cross multiply
    24,312.25x = 36,468.38 × 7,896.25
  4. Step 4: Simplify right side
    24,312.25x = 287,963,445.58
  5. Step 5: Solve for x
    x = 287,963,445.58/24,312.25
  6. Step 6: Final answer
    x = 11,844.38

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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.