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Finding the Fourth Proportional to 7,678.80, 10,592.76 and 5,027.28

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Solution

The fourth proportional to 7,678.80, 10,592.76 and 5,027.28 is: 6,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.80 : 10,592.76 = 5,027.28 : x
  2. Step 2: Convert to fraction form
    7,678.80/10,592.76 = 5,027.28/x
  3. Step 3: Cross multiply
    7,678.80x = 10,592.76 × 5,027.28
  4. Step 4: Simplify right side
    7,678.80x = 53,252,770.49
  5. Step 5: Solve for x
    x = 53,252,770.49/7,678.80
  6. Step 6: Final answer
    x = 6,935.04

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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.