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Finding the Fourth Proportional to 6,534.92, 9,795.90 and 3,068.12

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Solution

The fourth proportional to 6,534.92, 9,795.90 and 3,068.12 is: 4,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.92 : 9,795.90 = 3,068.12 : x
  2. Step 2: Convert to fraction form
    6,534.92/9,795.90 = 3,068.12/x
  3. Step 3: Cross multiply
    6,534.92x = 9,795.90 × 3,068.12
  4. Step 4: Simplify right side
    6,534.92x = 30,054,996.71
  5. Step 5: Solve for x
    x = 30,054,996.71/6,534.92
  6. Step 6: Final answer
    x = 4,599.14

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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.