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Finding the Fourth Proportional to 7,804.92, 10,767.18 and 4,491

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Solution

The fourth proportional to 7,804.92, 10,767.18 and 4,491 is: 6,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.92 : 10,767.18 = 4,491 : x
  2. Step 2: Convert to fraction form
    7,804.92/10,767.18 = 4,491/x
  3. Step 3: Cross multiply
    7,804.92x = 10,767.18 × 4,491
  4. Step 4: Simplify right side
    7,804.92x = 48,355,405.38
  5. Step 5: Solve for x
    x = 48,355,405.38/7,804.92
  6. Step 6: Final answer
    x = 6,195.50

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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.