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Finding the Fourth Proportional to 13,077.48, 18,046.92 and 7,109.14

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Solution

The fourth proportional to 13,077.48, 18,046.92 and 7,109.14 is: 9,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.48 : 18,046.92 = 7,109.14 : x
  2. Step 2: Convert to fraction form
    13,077.48/18,046.92 = 7,109.14/x
  3. Step 3: Cross multiply
    13,077.48x = 18,046.92 × 7,109.14
  4. Step 4: Simplify right side
    13,077.48x = 128,298,080.85
  5. Step 5: Solve for x
    x = 128,298,080.85/13,077.48
  6. Step 6: Final answer
    x = 9,810.61

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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.