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Finding the Fourth Proportional to 8,406.99, 12,588.62 and 6,733.40

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Solution

The fourth proportional to 8,406.99, 12,588.62 and 6,733.40 is: 10,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.99 : 12,588.62 = 6,733.40 : x
  2. Step 2: Convert to fraction form
    8,406.99/12,588.62 = 6,733.40/x
  3. Step 3: Cross multiply
    8,406.99x = 12,588.62 × 6,733.40
  4. Step 4: Simplify right side
    8,406.99x = 84,764,117.30
  5. Step 5: Solve for x
    x = 84,764,117.30/8,406.99
  6. Step 6: Final answer
    x = 10,082.58

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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.