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Finding the Fourth Proportional to 7,950.69, 10,971.90 and 4,807.44

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Solution

The fourth proportional to 7,950.69, 10,971.90 and 4,807.44 is: 6,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.69 : 10,971.90 = 4,807.44 : x
  2. Step 2: Convert to fraction form
    7,950.69/10,971.90 = 4,807.44/x
  3. Step 3: Cross multiply
    7,950.69x = 10,971.90 × 4,807.44
  4. Step 4: Simplify right side
    7,950.69x = 52,746,750.94
  5. Step 5: Solve for x
    x = 52,746,750.94/7,950.69
  6. Step 6: Final answer
    x = 6,634.24

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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.