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Finding the Fourth Proportional to 24,497.64, 36,755.10 and 8,916.84

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Solution

The fourth proportional to 24,497.64, 36,755.10 and 8,916.84 is: 13,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.64 : 36,755.10 = 8,916.84 : x
  2. Step 2: Convert to fraction form
    24,497.64/36,755.10 = 8,916.84/x
  3. Step 3: Cross multiply
    24,497.64x = 36,755.10 × 8,916.84
  4. Step 4: Simplify right side
    24,497.64x = 327,739,345.88
  5. Step 5: Solve for x
    x = 327,739,345.88/24,497.64
  6. Step 6: Final answer
    x = 13,378.40

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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.