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Finding the Fourth Proportional to 10,303.67, 14,213.98 and 6,942.17

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Solution

The fourth proportional to 10,303.67, 14,213.98 and 6,942.17 is: 9,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.67 : 14,213.98 = 6,942.17 : x
  2. Step 2: Convert to fraction form
    10,303.67/14,213.98 = 6,942.17/x
  3. Step 3: Cross multiply
    10,303.67x = 14,213.98 × 6,942.17
  4. Step 4: Simplify right side
    10,303.67x = 98,675,909.75
  5. Step 5: Solve for x
    x = 98,675,909.75/10,303.67
  6. Step 6: Final answer
    x = 9,576.77

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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.