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Finding the Fourth Proportional to 28,284.80, 42,425.76 and 9,573.80

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Solution

The fourth proportional to 28,284.80, 42,425.76 and 9,573.80 is: 14,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.80 : 42,425.76 = 9,573.80 : x
  2. Step 2: Convert to fraction form
    28,284.80/42,425.76 = 9,573.80/x
  3. Step 3: Cross multiply
    28,284.80x = 42,425.76 × 9,573.80
  4. Step 4: Simplify right side
    28,284.80x = 406,175,741.09
  5. Step 5: Solve for x
    x = 406,175,741.09/28,284.80
  6. Step 6: Final answer
    x = 14,360.21

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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.