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Finding the Fourth Proportional to 17,725, 24,461.12 and 9,767.80

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Solution

The fourth proportional to 17,725, 24,461.12 and 9,767.80 is: 13,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725 : 24,461.12 = 9,767.80 : x
  2. Step 2: Convert to fraction form
    17,725/24,461.12 = 9,767.80/x
  3. Step 3: Cross multiply
    17,725x = 24,461.12 × 9,767.80
  4. Step 4: Simplify right side
    17,725x = 238,931,327.94
  5. Step 5: Solve for x
    x = 238,931,327.94/17,725
  6. Step 6: Final answer
    x = 13,479.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.