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Finding the Fourth Proportional to 8,530.40, 12,795.60 and 5,760.20

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Solution

The fourth proportional to 8,530.40, 12,795.60 and 5,760.20 is: 8,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.40 : 12,795.60 = 5,760.20 : x
  2. Step 2: Convert to fraction form
    8,530.40/12,795.60 = 5,760.20/x
  3. Step 3: Cross multiply
    8,530.40x = 12,795.60 × 5,760.20
  4. Step 4: Simplify right side
    8,530.40x = 73,705,215.12
  5. Step 5: Solve for x
    x = 73,705,215.12/8,530.40
  6. Step 6: Final answer
    x = 8,640.30

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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.