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Finding the Fourth Proportional to 7,606.84, 10,497.36 and 4,462.42

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Solution

The fourth proportional to 7,606.84, 10,497.36 and 4,462.42 is: 6,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.84 : 10,497.36 = 4,462.42 : x
  2. Step 2: Convert to fraction form
    7,606.84/10,497.36 = 4,462.42/x
  3. Step 3: Cross multiply
    7,606.84x = 10,497.36 × 4,462.42
  4. Step 4: Simplify right side
    7,606.84x = 46,843,629.21
  5. Step 5: Solve for x
    x = 46,843,629.21/7,606.84
  6. Step 6: Final answer
    x = 6,158.09

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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.