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Finding the Fourth Proportional to 7,834.92, 10,813.04 and 5,004.88

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Solution

The fourth proportional to 7,834.92, 10,813.04 and 5,004.88 is: 6,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.92 : 10,813.04 = 5,004.88 : x
  2. Step 2: Convert to fraction form
    7,834.92/10,813.04 = 5,004.88/x
  3. Step 3: Cross multiply
    7,834.92x = 10,813.04 × 5,004.88
  4. Step 4: Simplify right side
    7,834.92x = 54,117,967.64
  5. Step 5: Solve for x
    x = 54,117,967.64/7,834.92
  6. Step 6: Final answer
    x = 6,907.28

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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.