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Finding the Fourth Proportional to 7,716.52, 10,649 and 4,733.96

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Solution

The fourth proportional to 7,716.52, 10,649 and 4,733.96 is: 6,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.52 : 10,649 = 4,733.96 : x
  2. Step 2: Convert to fraction form
    7,716.52/10,649 = 4,733.96/x
  3. Step 3: Cross multiply
    7,716.52x = 10,649 × 4,733.96
  4. Step 4: Simplify right side
    7,716.52x = 50,411,940.04
  5. Step 5: Solve for x
    x = 50,411,940.04/7,716.52
  6. Step 6: Final answer
    x = 6,532.99

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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.