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Finding the Fourth Proportional to 13,749, 18,973.53 and 7,461.38

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Solution

The fourth proportional to 13,749, 18,973.53 and 7,461.38 is: 10,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 18,973.53 = 7,461.38 : x
  2. Step 2: Convert to fraction form
    13,749/18,973.53 = 7,461.38/x
  3. Step 3: Cross multiply
    13,749x = 18,973.53 × 7,461.38
  4. Step 4: Simplify right side
    13,749x = 141,568,717.27
  5. Step 5: Solve for x
    x = 141,568,717.27/13,749
  6. Step 6: Final answer
    x = 10,296.66

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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.