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Finding the Fourth Proportional to 19,878.52, 29,798.22 and 9,497.56

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Solution

The fourth proportional to 19,878.52, 29,798.22 and 9,497.56 is: 14,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.52 : 29,798.22 = 9,497.56 : x
  2. Step 2: Convert to fraction form
    19,878.52/29,798.22 = 9,497.56/x
  3. Step 3: Cross multiply
    19,878.52x = 29,798.22 × 9,497.56
  4. Step 4: Simplify right side
    19,878.52x = 283,010,382.34
  5. Step 5: Solve for x
    x = 283,010,382.34/19,878.52
  6. Step 6: Final answer
    x = 14,236.99

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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.