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Finding the Fourth Proportional to 13,039.58, 17,994.52 and 7,071.24

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Solution

The fourth proportional to 13,039.58, 17,994.52 and 7,071.24 is: 9,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.58 : 17,994.52 = 7,071.24 : x
  2. Step 2: Convert to fraction form
    13,039.58/17,994.52 = 7,071.24/x
  3. Step 3: Cross multiply
    13,039.58x = 17,994.52 × 7,071.24
  4. Step 4: Simplify right side
    13,039.58x = 127,243,544.70
  5. Step 5: Solve for x
    x = 127,243,544.70/13,039.58
  6. Step 6: Final answer
    x = 9,758.25

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Similar ratio
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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.