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Finding the Fourth Proportional to 12,502.60, 17,252.58 and 6,913

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Solution

The fourth proportional to 12,502.60, 17,252.58 and 6,913 is: 9,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.60 : 17,252.58 = 6,913 : x
  2. Step 2: Convert to fraction form
    12,502.60/17,252.58 = 6,913/x
  3. Step 3: Cross multiply
    12,502.60x = 17,252.58 × 6,913
  4. Step 4: Simplify right side
    12,502.60x = 119,267,085.54
  5. Step 5: Solve for x
    x = 119,267,085.54/12,502.60
  6. Step 6: Final answer
    x = 9,539.38

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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.