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Finding the Fourth Proportional to 36,097.79, 54,146.54 and 9,802.49

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Solution

The fourth proportional to 36,097.79, 54,146.54 and 9,802.49 is: 14,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.79 : 54,146.54 = 9,802.49 : x
  2. Step 2: Convert to fraction form
    36,097.79/54,146.54 = 9,802.49/x
  3. Step 3: Cross multiply
    36,097.79x = 54,146.54 × 9,802.49
  4. Step 4: Simplify right side
    36,097.79x = 530,770,670.66
  5. Step 5: Solve for x
    x = 530,770,670.66/36,097.79
  6. Step 6: Final answer
    x = 14,703.69

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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.