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Finding the Fourth Proportional to 11,827.90, 16,323.78 and 7,048.90

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Solution

The fourth proportional to 11,827.90, 16,323.78 and 7,048.90 is: 9,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.90 : 16,323.78 = 7,048.90 : x
  2. Step 2: Convert to fraction form
    11,827.90/16,323.78 = 7,048.90/x
  3. Step 3: Cross multiply
    11,827.90x = 16,323.78 × 7,048.90
  4. Step 4: Simplify right side
    11,827.90x = 115,064,692.84
  5. Step 5: Solve for x
    x = 115,064,692.84/11,827.90
  6. Step 6: Final answer
    x = 9,728.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.