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Finding the Fourth Proportional to 13,009.44, 17,960.76 and 8,541

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Solution

The fourth proportional to 13,009.44, 17,960.76 and 8,541 is: 11,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.44 : 17,960.76 = 8,541 : x
  2. Step 2: Convert to fraction form
    13,009.44/17,960.76 = 8,541/x
  3. Step 3: Cross multiply
    13,009.44x = 17,960.76 × 8,541
  4. Step 4: Simplify right side
    13,009.44x = 153,402,851.16
  5. Step 5: Solve for x
    x = 153,402,851.16/13,009.44
  6. Step 6: Final answer
    x = 11,791.66

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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.