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Finding the Fourth Proportional to 8,046.30, 12,065.40 and 4,760.40

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Solution

The fourth proportional to 8,046.30, 12,065.40 and 4,760.40 is: 7,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.30 : 12,065.40 = 4,760.40 : x
  2. Step 2: Convert to fraction form
    8,046.30/12,065.40 = 4,760.40/x
  3. Step 3: Cross multiply
    8,046.30x = 12,065.40 × 4,760.40
  4. Step 4: Simplify right side
    8,046.30x = 57,436,130.16
  5. Step 5: Solve for x
    x = 57,436,130.16/8,046.30
  6. Step 6: Final answer
    x = 7,138.20

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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.