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Finding the Fourth Proportional to 7,486.92, 10,339.38 and 6,165

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Solution

The fourth proportional to 7,486.92, 10,339.38 and 6,165 is: 8,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.92 : 10,339.38 = 6,165 : x
  2. Step 2: Convert to fraction form
    7,486.92/10,339.38 = 6,165/x
  3. Step 3: Cross multiply
    7,486.92x = 10,339.38 × 6,165
  4. Step 4: Simplify right side
    7,486.92x = 63,742,277.70
  5. Step 5: Solve for x
    x = 63,742,277.70/7,486.92
  6. Step 6: Final answer
    x = 8,513.82

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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.