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Finding the Fourth Proportional to 9,797.76, 14,673.96 and 7,851.60

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Solution

The fourth proportional to 9,797.76, 14,673.96 and 7,851.60 is: 11,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.76 : 14,673.96 = 7,851.60 : x
  2. Step 2: Convert to fraction form
    9,797.76/14,673.96 = 7,851.60/x
  3. Step 3: Cross multiply
    9,797.76x = 14,673.96 × 7,851.60
  4. Step 4: Simplify right side
    9,797.76x = 115,214,064.34
  5. Step 5: Solve for x
    x = 115,214,064.34/9,797.76
  6. Step 6: Final answer
    x = 11,759.23

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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.