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Finding the Fourth Proportional to 36,971.92, 55,457.88 and 9,269.92

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Solution

The fourth proportional to 36,971.92, 55,457.88 and 9,269.92 is: 13,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.92 : 55,457.88 = 9,269.92 : x
  2. Step 2: Convert to fraction form
    36,971.92/55,457.88 = 9,269.92/x
  3. Step 3: Cross multiply
    36,971.92x = 55,457.88 × 9,269.92
  4. Step 4: Simplify right side
    36,971.92x = 514,090,110.97
  5. Step 5: Solve for x
    x = 514,090,110.97/36,971.92
  6. Step 6: Final answer
    x = 13,904.88

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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.