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Finding the Fourth Proportional to 30,839.52, 46,273.60 and 9,782.88

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Solution

The fourth proportional to 30,839.52, 46,273.60 and 9,782.88 is: 14,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.52 : 46,273.60 = 9,782.88 : x
  2. Step 2: Convert to fraction form
    30,839.52/46,273.60 = 9,782.88/x
  3. Step 3: Cross multiply
    30,839.52x = 46,273.60 × 9,782.88
  4. Step 4: Simplify right side
    30,839.52x = 452,689,075.97
  5. Step 5: Solve for x
    x = 452,689,075.97/30,839.52
  6. Step 6: Final answer
    x = 14,678.86

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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.