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Finding the Fourth Proportional to 10,703.91, 14,766.45 and 6,928.30

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Solution

The fourth proportional to 10,703.91, 14,766.45 and 6,928.30 is: 9,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.91 : 14,766.45 = 6,928.30 : x
  2. Step 2: Convert to fraction form
    10,703.91/14,766.45 = 6,928.30/x
  3. Step 3: Cross multiply
    10,703.91x = 14,766.45 × 6,928.30
  4. Step 4: Simplify right side
    10,703.91x = 102,306,395.54
  5. Step 5: Solve for x
    x = 102,306,395.54/10,703.91
  6. Step 6: Final answer
    x = 9,557.85

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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.