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Finding the Fourth Proportional to 13,037.84, 17,987.40 and 9,004.40

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Solution

The fourth proportional to 13,037.84, 17,987.40 and 9,004.40 is: 12,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.84 : 17,987.40 = 9,004.40 : x
  2. Step 2: Convert to fraction form
    13,037.84/17,987.40 = 9,004.40/x
  3. Step 3: Cross multiply
    13,037.84x = 17,987.40 × 9,004.40
  4. Step 4: Simplify right side
    13,037.84x = 161,965,744.56
  5. Step 5: Solve for x
    x = 161,965,744.56/13,037.84
  6. Step 6: Final answer
    x = 12,422.74

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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.