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Finding the Fourth Proportional to 13,707.64, 18,915.48 and 7,739.91

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Solution

The fourth proportional to 13,707.64, 18,915.48 and 7,739.91 is: 10,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.64 : 18,915.48 = 7,739.91 : x
  2. Step 2: Convert to fraction form
    13,707.64/18,915.48 = 7,739.91/x
  3. Step 3: Cross multiply
    13,707.64x = 18,915.48 × 7,739.91
  4. Step 4: Simplify right side
    13,707.64x = 146,404,112.81
  5. Step 5: Solve for x
    x = 146,404,112.81/13,707.64
  6. Step 6: Final answer
    x = 10,680.48

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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.