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Finding the Fourth Proportional to 6,934.75, 9,576.93 and 4,417.99

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Solution

The fourth proportional to 6,934.75, 9,576.93 and 4,417.99 is: 6,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.75 : 9,576.93 = 4,417.99 : x
  2. Step 2: Convert to fraction form
    6,934.75/9,576.93 = 4,417.99/x
  3. Step 3: Cross multiply
    6,934.75x = 9,576.93 × 4,417.99
  4. Step 4: Simplify right side
    6,934.75x = 42,310,773.60
  5. Step 5: Solve for x
    x = 42,310,773.60/6,934.75
  6. Step 6: Final answer
    x = 6,101.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.