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Finding the Fourth Proportional to 6,315.30, 9,472.95 and 3,394.98

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Solution

The fourth proportional to 6,315.30, 9,472.95 and 3,394.98 is: 5,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.30 : 9,472.95 = 3,394.98 : x
  2. Step 2: Convert to fraction form
    6,315.30/9,472.95 = 3,394.98/x
  3. Step 3: Cross multiply
    6,315.30x = 9,472.95 × 3,394.98
  4. Step 4: Simplify right side
    6,315.30x = 32,160,475.79
  5. Step 5: Solve for x
    x = 32,160,475.79/6,315.30
  6. Step 6: Final answer
    x = 5,092.47

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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.