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Finding the Fourth Proportional to 7,449.84, 10,284.84 and 5,218.56

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Solution

The fourth proportional to 7,449.84, 10,284.84 and 5,218.56 is: 7,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.84 : 10,284.84 = 5,218.56 : x
  2. Step 2: Convert to fraction form
    7,449.84/10,284.84 = 5,218.56/x
  3. Step 3: Cross multiply
    7,449.84x = 10,284.84 × 5,218.56
  4. Step 4: Simplify right side
    7,449.84x = 53,672,054.63
  5. Step 5: Solve for x
    x = 53,672,054.63/7,449.84
  6. Step 6: Final answer
    x = 7,204.46

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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.