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Finding the Fourth Proportional to 10,685.01, 14,745.54 and 6,209.16

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Solution

The fourth proportional to 10,685.01, 14,745.54 and 6,209.16 is: 8,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.01 : 14,745.54 = 6,209.16 : x
  2. Step 2: Convert to fraction form
    10,685.01/14,745.54 = 6,209.16/x
  3. Step 3: Cross multiply
    10,685.01x = 14,745.54 × 6,209.16
  4. Step 4: Simplify right side
    10,685.01x = 91,557,385.13
  5. Step 5: Solve for x
    x = 91,557,385.13/10,685.01
  6. Step 6: Final answer
    x = 8,568.77

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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.