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Finding the Fourth Proportional to 11,842.83, 16,349.01 and 7,368.02

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Solution

The fourth proportional to 11,842.83, 16,349.01 and 7,368.02 is: 10,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.83 : 16,349.01 = 7,368.02 : x
  2. Step 2: Convert to fraction form
    11,842.83/16,349.01 = 7,368.02/x
  3. Step 3: Cross multiply
    11,842.83x = 16,349.01 × 7,368.02
  4. Step 4: Simplify right side
    11,842.83x = 120,459,832.66
  5. Step 5: Solve for x
    x = 120,459,832.66/11,842.83
  6. Step 6: Final answer
    x = 10,171.54

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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.