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Finding the Fourth Proportional to 10,693.16, 16,017.84 and 7,922.96

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Solution

The fourth proportional to 10,693.16, 16,017.84 and 7,922.96 is: 11,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.16 : 16,017.84 = 7,922.96 : x
  2. Step 2: Convert to fraction form
    10,693.16/16,017.84 = 7,922.96/x
  3. Step 3: Cross multiply
    10,693.16x = 16,017.84 × 7,922.96
  4. Step 4: Simplify right side
    10,693.16x = 126,908,705.61
  5. Step 5: Solve for x
    x = 126,908,705.61/10,693.16
  6. Step 6: Final answer
    x = 11,868.21

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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.