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Finding the Fourth Proportional to 22,798.48, 34,199.16 and 9,649.12

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Solution

The fourth proportional to 22,798.48, 34,199.16 and 9,649.12 is: 14,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.48 : 34,199.16 = 9,649.12 : x
  2. Step 2: Convert to fraction form
    22,798.48/34,199.16 = 9,649.12/x
  3. Step 3: Cross multiply
    22,798.48x = 34,199.16 × 9,649.12
  4. Step 4: Simplify right side
    22,798.48x = 329,991,798.74
  5. Step 5: Solve for x
    x = 329,991,798.74/22,798.48
  6. Step 6: Final answer
    x = 14,474.29

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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.