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Finding the Fourth Proportional to 10,362.56, 14,290.68 and 6,819.62

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Solution

The fourth proportional to 10,362.56, 14,290.68 and 6,819.62 is: 9,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.56 : 14,290.68 = 6,819.62 : x
  2. Step 2: Convert to fraction form
    10,362.56/14,290.68 = 6,819.62/x
  3. Step 3: Cross multiply
    10,362.56x = 14,290.68 × 6,819.62
  4. Step 4: Simplify right side
    10,362.56x = 97,457,007.14
  5. Step 5: Solve for x
    x = 97,457,007.14/10,362.56
  6. Step 6: Final answer
    x = 9,404.72

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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.