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Finding the Fourth Proportional to 13,676.01, 18,873.93 and 7,708.24

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Solution

The fourth proportional to 13,676.01, 18,873.93 and 7,708.24 is: 10,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.01 : 18,873.93 = 7,708.24 : x
  2. Step 2: Convert to fraction form
    13,676.01/18,873.93 = 7,708.24/x
  3. Step 3: Cross multiply
    13,676.01x = 18,873.93 × 7,708.24
  4. Step 4: Simplify right side
    13,676.01x = 145,484,782.18
  5. Step 5: Solve for x
    x = 145,484,782.18/13,676.01
  6. Step 6: Final answer
    x = 10,637.96

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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.