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Finding the Fourth Proportional to 10,534, 14,537.12 and 6,814.48

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Solution

The fourth proportional to 10,534, 14,537.12 and 6,814.48 is: 9,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 14,537.12 = 6,814.48 : x
  2. Step 2: Convert to fraction form
    10,534/14,537.12 = 6,814.48/x
  3. Step 3: Cross multiply
    10,534x = 14,537.12 × 6,814.48
  4. Step 4: Simplify right side
    10,534x = 99,062,913.50
  5. Step 5: Solve for x
    x = 99,062,913.50/10,534
  6. Step 6: Final answer
    x = 9,404.11

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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.