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Finding the Fourth Proportional to 13,000.51, 17,940.69 and 7,032.16

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Solution

The fourth proportional to 13,000.51, 17,940.69 and 7,032.16 is: 9,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.51 : 17,940.69 = 7,032.16 : x
  2. Step 2: Convert to fraction form
    13,000.51/17,940.69 = 7,032.16/x
  3. Step 3: Cross multiply
    13,000.51x = 17,940.69 × 7,032.16
  4. Step 4: Simplify right side
    13,000.51x = 126,161,825.02
  5. Step 5: Solve for x
    x = 126,161,825.02/13,000.51
  6. Step 6: Final answer
    x = 9,704.37

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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.