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Finding the Fourth Proportional to 11,809.56, 17,708.58 and 6,743.16

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Solution

The fourth proportional to 11,809.56, 17,708.58 and 6,743.16 is: 10,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.56 : 17,708.58 = 6,743.16 : x
  2. Step 2: Convert to fraction form
    11,809.56/17,708.58 = 6,743.16/x
  3. Step 3: Cross multiply
    11,809.56x = 17,708.58 × 6,743.16
  4. Step 4: Simplify right side
    11,809.56x = 119,411,788.31
  5. Step 5: Solve for x
    x = 119,411,788.31/11,809.56
  6. Step 6: Final answer
    x = 10,111.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.