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Finding the Fourth Proportional to 5,952.99, 8,929.77 and 4,911.06

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Solution

The fourth proportional to 5,952.99, 8,929.77 and 4,911.06 is: 7,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.99 : 8,929.77 = 4,911.06 : x
  2. Step 2: Convert to fraction form
    5,952.99/8,929.77 = 4,911.06/x
  3. Step 3: Cross multiply
    5,952.99x = 8,929.77 × 4,911.06
  4. Step 4: Simplify right side
    5,952.99x = 43,854,651.33
  5. Step 5: Solve for x
    x = 43,854,651.33/5,952.99
  6. Step 6: Final answer
    x = 7,366.82

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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.