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Finding the Fourth Proportional to 13,701.53, 18,907.21 and 7,732.38

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Solution

The fourth proportional to 13,701.53, 18,907.21 and 7,732.38 is: 10,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.53 : 18,907.21 = 7,732.38 : x
  2. Step 2: Convert to fraction form
    13,701.53/18,907.21 = 7,732.38/x
  3. Step 3: Cross multiply
    13,701.53x = 18,907.21 × 7,732.38
  4. Step 4: Simplify right side
    13,701.53x = 146,197,834.77
  5. Step 5: Solve for x
    x = 146,197,834.77/13,701.53
  6. Step 6: Final answer
    x = 10,670.19

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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.