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Finding the Fourth Proportional to 6,901.62, 9,517.95 and 4,509.42

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Solution

The fourth proportional to 6,901.62, 9,517.95 and 4,509.42 is: 6,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.62 : 9,517.95 = 4,509.42 : x
  2. Step 2: Convert to fraction form
    6,901.62/9,517.95 = 4,509.42/x
  3. Step 3: Cross multiply
    6,901.62x = 9,517.95 × 4,509.42
  4. Step 4: Simplify right side
    6,901.62x = 42,920,434.09
  5. Step 5: Solve for x
    x = 42,920,434.09/6,901.62
  6. Step 6: Final answer
    x = 6,218.89

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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.