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Finding the Fourth Proportional to 24,516.64, 36,779 and 9,725.64

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Solution

The fourth proportional to 24,516.64, 36,779 and 9,725.64 is: 14,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.64 : 36,779 = 9,725.64 : x
  2. Step 2: Convert to fraction form
    24,516.64/36,779 = 9,725.64/x
  3. Step 3: Cross multiply
    24,516.64x = 36,779 × 9,725.64
  4. Step 4: Simplify right side
    24,516.64x = 357,699,313.56
  5. Step 5: Solve for x
    x = 357,699,313.56/24,516.64
  6. Step 6: Final answer
    x = 14,590.06

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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.