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Finding the Fourth Proportional to 9,542.83, 13,167.01 and 9,228.19

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Solution

The fourth proportional to 9,542.83, 13,167.01 and 9,228.19 is: 12,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.83 : 13,167.01 = 9,228.19 : x
  2. Step 2: Convert to fraction form
    9,542.83/13,167.01 = 9,228.19/x
  3. Step 3: Cross multiply
    9,542.83x = 13,167.01 × 9,228.19
  4. Step 4: Simplify right side
    9,542.83x = 121,507,670.01
  5. Step 5: Solve for x
    x = 121,507,670.01/9,542.83
  6. Step 6: Final answer
    x = 12,732.88

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Half scale
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Double scale
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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.