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Finding the Fourth Proportional to 9,792.39, 13,513.89 and 5,543.64

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Solution

The fourth proportional to 9,792.39, 13,513.89 and 5,543.64 is: 7,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.39 : 13,513.89 = 5,543.64 : x
  2. Step 2: Convert to fraction form
    9,792.39/13,513.89 = 5,543.64/x
  3. Step 3: Cross multiply
    9,792.39x = 13,513.89 × 5,543.64
  4. Step 4: Simplify right side
    9,792.39x = 74,916,130.77
  5. Step 5: Solve for x
    x = 74,916,130.77/9,792.39
  6. Step 6: Final answer
    x = 7,650.44

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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.