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Finding the Fourth Proportional to 13,001.14, 17,941.51 and 7,032.80

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Solution

The fourth proportional to 13,001.14, 17,941.51 and 7,032.80 is: 9,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.14 : 17,941.51 = 7,032.80 : x
  2. Step 2: Convert to fraction form
    13,001.14/17,941.51 = 7,032.80/x
  3. Step 3: Cross multiply
    13,001.14x = 17,941.51 × 7,032.80
  4. Step 4: Simplify right side
    13,001.14x = 126,179,051.53
  5. Step 5: Solve for x
    x = 126,179,051.53/13,001.14
  6. Step 6: Final answer
    x = 9,705.23

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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.