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Finding the Fourth Proportional to 7,464.96, 10,298.88 and 7,453.44

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Solution

The fourth proportional to 7,464.96, 10,298.88 and 7,453.44 is: 10,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.96 : 10,298.88 = 7,453.44 : x
  2. Step 2: Convert to fraction form
    7,464.96/10,298.88 = 7,453.44/x
  3. Step 3: Cross multiply
    7,464.96x = 10,298.88 × 7,453.44
  4. Step 4: Simplify right side
    7,464.96x = 76,762,084.15
  5. Step 5: Solve for x
    x = 76,762,084.15/7,464.96
  6. Step 6: Final answer
    x = 10,282.99

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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.