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Finding the Fourth Proportional to 13,019.41, 17,966.68 and 7,051.06

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Solution

The fourth proportional to 13,019.41, 17,966.68 and 7,051.06 is: 9,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.41 : 17,966.68 = 7,051.06 : x
  2. Step 2: Convert to fraction form
    13,019.41/17,966.68 = 7,051.06/x
  3. Step 3: Cross multiply
    13,019.41x = 17,966.68 × 7,051.06
  4. Step 4: Simplify right side
    13,019.41x = 126,684,138.68
  5. Step 5: Solve for x
    x = 126,684,138.68/13,019.41
  6. Step 6: Final answer
    x = 9,730.41

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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.