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Finding the Fourth Proportional to 7,954.69, 10,978.91 and 4,597.04

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Solution

The fourth proportional to 7,954.69, 10,978.91 and 4,597.04 is: 6,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.69 : 10,978.91 = 4,597.04 : x
  2. Step 2: Convert to fraction form
    7,954.69/10,978.91 = 4,597.04/x
  3. Step 3: Cross multiply
    7,954.69x = 10,978.91 × 4,597.04
  4. Step 4: Simplify right side
    7,954.69x = 50,470,488.43
  5. Step 5: Solve for x
    x = 50,470,488.43/7,954.69
  6. Step 6: Final answer
    x = 6,344.75

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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.