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Finding the Fourth Proportional to 10,762.80, 16,144.20 and 10,114.80

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Solution

The fourth proportional to 10,762.80, 16,144.20 and 10,114.80 is: 15,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.80 : 16,144.20 = 10,114.80 : x
  2. Step 2: Convert to fraction form
    10,762.80/16,144.20 = 10,114.80/x
  3. Step 3: Cross multiply
    10,762.80x = 16,144.20 × 10,114.80
  4. Step 4: Simplify right side
    10,762.80x = 163,295,354.16
  5. Step 5: Solve for x
    x = 163,295,354.16/10,762.80
  6. Step 6: Final answer
    x = 15,172.20

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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.