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Finding the Fourth Proportional to 7,284.64, 10,935.60 and 7,255.84

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Solution

The fourth proportional to 7,284.64, 10,935.60 and 7,255.84 is: 10,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.64 : 10,935.60 = 7,255.84 : x
  2. Step 2: Convert to fraction form
    7,284.64/10,935.60 = 7,255.84/x
  3. Step 3: Cross multiply
    7,284.64x = 10,935.60 × 7,255.84
  4. Step 4: Simplify right side
    7,284.64x = 79,346,963.90
  5. Step 5: Solve for x
    x = 79,346,963.90/7,284.64
  6. Step 6: Final answer
    x = 10,892.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.