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Finding the Fourth Proportional to 7,953.66, 10,978.02 and 4,598.42

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Solution

The fourth proportional to 7,953.66, 10,978.02 and 4,598.42 is: 6,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.66 : 10,978.02 = 4,598.42 : x
  2. Step 2: Convert to fraction form
    7,953.66/10,978.02 = 4,598.42/x
  3. Step 3: Cross multiply
    7,953.66x = 10,978.02 × 4,598.42
  4. Step 4: Simplify right side
    7,953.66x = 50,481,546.73
  5. Step 5: Solve for x
    x = 50,481,546.73/7,953.66
  6. Step 6: Final answer
    x = 6,346.96

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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.