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Finding the Fourth Proportional to 7,796.64, 10,763.28 and 6,024.24

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Solution

The fourth proportional to 7,796.64, 10,763.28 and 6,024.24 is: 8,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.64 : 10,763.28 = 6,024.24 : x
  2. Step 2: Convert to fraction form
    7,796.64/10,763.28 = 6,024.24/x
  3. Step 3: Cross multiply
    7,796.64x = 10,763.28 × 6,024.24
  4. Step 4: Simplify right side
    7,796.64x = 64,840,581.91
  5. Step 5: Solve for x
    x = 64,840,581.91/7,796.64
  6. Step 6: Final answer
    x = 8,316.48

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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.