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Finding the Fourth Proportional to 24,824.16, 37,236.42 and 6,356.16

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Solution

The fourth proportional to 24,824.16, 37,236.42 and 6,356.16 is: 9,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.16 : 37,236.42 = 6,356.16 : x
  2. Step 2: Convert to fraction form
    24,824.16/37,236.42 = 6,356.16/x
  3. Step 3: Cross multiply
    24,824.16x = 37,236.42 × 6,356.16
  4. Step 4: Simplify right side
    24,824.16x = 236,680,643.35
  5. Step 5: Solve for x
    x = 236,680,643.35/24,824.16
  6. Step 6: Final answer
    x = 9,534.29

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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.