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Finding the Fourth Proportional to 8,461.77, 12,693.83 and 3,530.27

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Solution

The fourth proportional to 8,461.77, 12,693.83 and 3,530.27 is: 5,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.77 : 12,693.83 = 3,530.27 : x
  2. Step 2: Convert to fraction form
    8,461.77/12,693.83 = 3,530.27/x
  3. Step 3: Cross multiply
    8,461.77x = 12,693.83 × 3,530.27
  4. Step 4: Simplify right side
    8,461.77x = 44,812,566.11
  5. Step 5: Solve for x
    x = 44,812,566.11/8,461.77
  6. Step 6: Final answer
    x = 5,295.89

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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.