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Finding the Fourth Proportional to 13,153, 18,151.22 and 7,564.04

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Solution

The fourth proportional to 13,153, 18,151.22 and 7,564.04 is: 10,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 18,151.22 = 7,564.04 : x
  2. Step 2: Convert to fraction form
    13,153/18,151.22 = 7,564.04/x
  3. Step 3: Cross multiply
    13,153x = 18,151.22 × 7,564.04
  4. Step 4: Simplify right side
    13,153x = 137,296,554.13
  5. Step 5: Solve for x
    x = 137,296,554.13/13,153
  6. Step 6: Final answer
    x = 10,438.42

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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.