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Finding the Fourth Proportional to 28,198.50, 42,297.75 and 9,730.50

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Solution

The fourth proportional to 28,198.50, 42,297.75 and 9,730.50 is: 14,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.50 : 42,297.75 = 9,730.50 : x
  2. Step 2: Convert to fraction form
    28,198.50/42,297.75 = 9,730.50/x
  3. Step 3: Cross multiply
    28,198.50x = 42,297.75 × 9,730.50
  4. Step 4: Simplify right side
    28,198.50x = 411,578,256.38
  5. Step 5: Solve for x
    x = 411,578,256.38/28,198.50
  6. Step 6: Final answer
    x = 14,595.75

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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.