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Finding the Fourth Proportional to 13,762.17, 20,623.01 and 6,154.23

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Solution

The fourth proportional to 13,762.17, 20,623.01 and 6,154.23 is: 9,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.17 : 20,623.01 = 6,154.23 : x
  2. Step 2: Convert to fraction form
    13,762.17/20,623.01 = 6,154.23/x
  3. Step 3: Cross multiply
    13,762.17x = 20,623.01 × 6,154.23
  4. Step 4: Simplify right side
    13,762.17x = 126,918,716.06
  5. Step 5: Solve for x
    x = 126,918,716.06/13,762.17
  6. Step 6: Final answer
    x = 9,222.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.