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Finding the Fourth Proportional to 10,809.65, 16,203.33 and 7,840.66

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Solution

The fourth proportional to 10,809.65, 16,203.33 and 7,840.66 is: 11,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.65 : 16,203.33 = 7,840.66 : x
  2. Step 2: Convert to fraction form
    10,809.65/16,203.33 = 7,840.66/x
  3. Step 3: Cross multiply
    10,809.65x = 16,203.33 × 7,840.66
  4. Step 4: Simplify right side
    10,809.65x = 127,044,801.40
  5. Step 5: Solve for x
    x = 127,044,801.40/10,809.65
  6. Step 6: Final answer
    x = 11,752.91

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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.