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Finding the Fourth Proportional to 4,509.99, 6,766.20 and 1,588.59

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Solution

The fourth proportional to 4,509.99, 6,766.20 and 1,588.59 is: 2,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.99 : 6,766.20 = 1,588.59 : x
  2. Step 2: Convert to fraction form
    4,509.99/6,766.20 = 1,588.59/x
  3. Step 3: Cross multiply
    4,509.99x = 6,766.20 × 1,588.59
  4. Step 4: Simplify right side
    4,509.99x = 10,748,717.66
  5. Step 5: Solve for x
    x = 10,748,717.66/4,509.99
  6. Step 6: Final answer
    x = 2,383.31

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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.