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Finding the Fourth Proportional to 7,763.43, 10,713.00 and 4,406.32

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Solution

The fourth proportional to 7,763.43, 10,713.00 and 4,406.32 is: 6,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.43 : 10,713.00 = 4,406.32 : x
  2. Step 2: Convert to fraction form
    7,763.43/10,713.00 = 4,406.32/x
  3. Step 3: Cross multiply
    7,763.43x = 10,713.00 × 4,406.32
  4. Step 4: Simplify right side
    7,763.43x = 47,204,851.03
  5. Step 5: Solve for x
    x = 47,204,851.03/7,763.43
  6. Step 6: Final answer
    x = 6,080.41

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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.