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Finding the Fourth Proportional to 14,596.94, 21,902.54 and 9,048.80

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Solution

The fourth proportional to 14,596.94, 21,902.54 and 9,048.80 is: 13,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.94 : 21,902.54 = 9,048.80 : x
  2. Step 2: Convert to fraction form
    14,596.94/21,902.54 = 9,048.80/x
  3. Step 3: Cross multiply
    14,596.94x = 21,902.54 × 9,048.80
  4. Step 4: Simplify right side
    14,596.94x = 198,191,549.20
  5. Step 5: Solve for x
    x = 198,191,549.20/14,596.94
  6. Step 6: Final answer
    x = 13,577.61

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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.