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Finding the Fourth Proportional to 10,297.46, 14,210.46 and 5,581.73

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Solution

The fourth proportional to 10,297.46, 14,210.46 and 5,581.73 is: 7,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.46 : 14,210.46 = 5,581.73 : x
  2. Step 2: Convert to fraction form
    10,297.46/14,210.46 = 5,581.73/x
  3. Step 3: Cross multiply
    10,297.46x = 14,210.46 × 5,581.73
  4. Step 4: Simplify right side
    10,297.46x = 79,318,950.90
  5. Step 5: Solve for x
    x = 79,318,950.90/10,297.46
  6. Step 6: Final answer
    x = 7,702.77

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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.