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Finding the Fourth Proportional to 10,534, 14,538.20 and 6,118

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Solution

The fourth proportional to 10,534, 14,538.20 and 6,118 is: 8,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 14,538.20 = 6,118 : x
  2. Step 2: Convert to fraction form
    10,534/14,538.20 = 6,118/x
  3. Step 3: Cross multiply
    10,534x = 14,538.20 × 6,118
  4. Step 4: Simplify right side
    10,534x = 88,944,707.60
  5. Step 5: Solve for x
    x = 88,944,707.60/10,534
  6. Step 6: Final answer
    x = 8,443.58

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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.