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Finding the Fourth Proportional to 9,751.51, 14,627.27 and 3,177.70

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Solution

The fourth proportional to 9,751.51, 14,627.27 and 3,177.70 is: 4,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.51 : 14,627.27 = 3,177.70 : x
  2. Step 2: Convert to fraction form
    9,751.51/14,627.27 = 3,177.70/x
  3. Step 3: Cross multiply
    9,751.51x = 14,627.27 × 3,177.70
  4. Step 4: Simplify right side
    9,751.51x = 46,481,047.26
  5. Step 5: Solve for x
    x = 46,481,047.26/9,751.51
  6. Step 6: Final answer
    x = 4,766.55

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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.