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Finding the Fourth Proportional to 30,984.04, 46,476.06 and 7,610.47

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Solution

The fourth proportional to 30,984.04, 46,476.06 and 7,610.47 is: 11,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.04 : 46,476.06 = 7,610.47 : x
  2. Step 2: Convert to fraction form
    30,984.04/46,476.06 = 7,610.47/x
  3. Step 3: Cross multiply
    30,984.04x = 46,476.06 × 7,610.47
  4. Step 4: Simplify right side
    30,984.04x = 353,704,660.35
  5. Step 5: Solve for x
    x = 353,704,660.35/30,984.04
  6. Step 6: Final answer
    x = 11,415.71

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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.