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Finding the Fourth Proportional to 13,710.92, 18,919.04 and 7,742.48

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Solution

The fourth proportional to 13,710.92, 18,919.04 and 7,742.48 is: 10,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.92 : 18,919.04 = 7,742.48 : x
  2. Step 2: Convert to fraction form
    13,710.92/18,919.04 = 7,742.48/x
  3. Step 3: Cross multiply
    13,710.92x = 18,919.04 × 7,742.48
  4. Step 4: Simplify right side
    13,710.92x = 146,480,155.51
  5. Step 5: Solve for x
    x = 146,480,155.51/13,710.92
  6. Step 6: Final answer
    x = 10,683.46

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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.