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Finding the Fourth Proportional to 9,751.50, 13,455.93 and 5,771.16

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Solution

The fourth proportional to 9,751.50, 13,455.93 and 5,771.16 is: 7,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.50 : 13,455.93 = 5,771.16 : x
  2. Step 2: Convert to fraction form
    9,751.50/13,455.93 = 5,771.16/x
  3. Step 3: Cross multiply
    9,751.50x = 13,455.93 × 5,771.16
  4. Step 4: Simplify right side
    9,751.50x = 77,656,324.98
  5. Step 5: Solve for x
    x = 77,656,324.98/9,751.50
  6. Step 6: Final answer
    x = 7,963.53

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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.