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Finding the Fourth Proportional to 13,000.93, 17,941.23 and 7,032.61

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Solution

The fourth proportional to 13,000.93, 17,941.23 and 7,032.61 is: 9,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.93 : 17,941.23 = 7,032.61 : x
  2. Step 2: Convert to fraction form
    13,000.93/17,941.23 = 7,032.61/x
  3. Step 3: Cross multiply
    13,000.93x = 17,941.23 × 7,032.61
  4. Step 4: Simplify right side
    13,000.93x = 126,173,673.51
  5. Step 5: Solve for x
    x = 126,173,673.51/13,000.93
  6. Step 6: Final answer
    x = 9,704.97

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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.