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Finding the Fourth Proportional to 10,663.53, 14,714.51 and 6,186.53

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Solution

The fourth proportional to 10,663.53, 14,714.51 and 6,186.53 is: 8,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.53 : 14,714.51 = 6,186.53 : x
  2. Step 2: Convert to fraction form
    10,663.53/14,714.51 = 6,186.53/x
  3. Step 3: Cross multiply
    10,663.53x = 14,714.51 × 6,186.53
  4. Step 4: Simplify right side
    10,663.53x = 91,031,653.05
  5. Step 5: Solve for x
    x = 91,031,653.05/10,663.53
  6. Step 6: Final answer
    x = 8,536.73

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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.