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Finding the Fourth Proportional to 13,698.81, 18,903.93 and 7,649.22

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Solution

The fourth proportional to 13,698.81, 18,903.93 and 7,649.22 is: 10,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.81 : 18,903.93 = 7,649.22 : x
  2. Step 2: Convert to fraction form
    13,698.81/18,903.93 = 7,649.22/x
  3. Step 3: Cross multiply
    13,698.81x = 18,903.93 × 7,649.22
  4. Step 4: Simplify right side
    13,698.81x = 144,600,319.43
  5. Step 5: Solve for x
    x = 144,600,319.43/13,698.81
  6. Step 6: Final answer
    x = 10,555.68

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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.