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Finding the Fourth Proportional to 11,800.47, 17,703.14 and 9,866.19

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Solution

The fourth proportional to 11,800.47, 17,703.14 and 9,866.19 is: 14,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.47 : 17,703.14 = 9,866.19 : x
  2. Step 2: Convert to fraction form
    11,800.47/17,703.14 = 9,866.19/x
  3. Step 3: Cross multiply
    11,800.47x = 17,703.14 × 9,866.19
  4. Step 4: Simplify right side
    11,800.47x = 174,662,542.84
  5. Step 5: Solve for x
    x = 174,662,542.84/11,800.47
  6. Step 6: Final answer
    x = 14,801.32

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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.