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Finding the Fourth Proportional to 6,460.65, 8,917.62 and 3,808.92

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Solution

The fourth proportional to 6,460.65, 8,917.62 and 3,808.92 is: 5,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.65 : 8,917.62 = 3,808.92 : x
  2. Step 2: Convert to fraction form
    6,460.65/8,917.62 = 3,808.92/x
  3. Step 3: Cross multiply
    6,460.65x = 8,917.62 × 3,808.92
  4. Step 4: Simplify right side
    6,460.65x = 33,966,501.17
  5. Step 5: Solve for x
    x = 33,966,501.17/6,460.65
  6. Step 6: Final answer
    x = 5,257.44

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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.