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Finding the Fourth Proportional to 8,033.76, 12,044.16 and 4,566.24

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Solution

The fourth proportional to 8,033.76, 12,044.16 and 4,566.24 is: 6,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.76 : 12,044.16 = 4,566.24 : x
  2. Step 2: Convert to fraction form
    8,033.76/12,044.16 = 4,566.24/x
  3. Step 3: Cross multiply
    8,033.76x = 12,044.16 × 4,566.24
  4. Step 4: Simplify right side
    8,033.76x = 54,996,525.16
  5. Step 5: Solve for x
    x = 54,996,525.16/8,033.76
  6. Step 6: Final answer
    x = 6,845.68

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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.