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Finding the Fourth Proportional to 10,760.20, 16,140.30 and 9,140.20

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Solution

The fourth proportional to 10,760.20, 16,140.30 and 9,140.20 is: 13,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.20 : 16,140.30 = 9,140.20 : x
  2. Step 2: Convert to fraction form
    10,760.20/16,140.30 = 9,140.20/x
  3. Step 3: Cross multiply
    10,760.20x = 16,140.30 × 9,140.20
  4. Step 4: Simplify right side
    10,760.20x = 147,525,570.06
  5. Step 5: Solve for x
    x = 147,525,570.06/10,760.20
  6. Step 6: Final answer
    x = 13,710.30

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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.