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Finding the Fourth Proportional to 17,714.13, 24,445 and 9,756.39

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Solution

The fourth proportional to 17,714.13, 24,445 and 9,756.39 is: 13,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.13 : 24,445 = 9,756.39 : x
  2. Step 2: Convert to fraction form
    17,714.13/24,445 = 9,756.39/x
  3. Step 3: Cross multiply
    17,714.13x = 24,445 × 9,756.39
  4. Step 4: Simplify right side
    17,714.13x = 238,494,953.55
  5. Step 5: Solve for x
    x = 238,494,953.55/17,714.13
  6. Step 6: Final answer
    x = 13,463.54

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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.