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Finding the Fourth Proportional to 9,676.82, 14,509.73 and 8,851.25

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Solution

The fourth proportional to 9,676.82, 14,509.73 and 8,851.25 is: 13,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.82 : 14,509.73 = 8,851.25 : x
  2. Step 2: Convert to fraction form
    9,676.82/14,509.73 = 8,851.25/x
  3. Step 3: Cross multiply
    9,676.82x = 14,509.73 × 8,851.25
  4. Step 4: Simplify right side
    9,676.82x = 128,429,197.24
  5. Step 5: Solve for x
    x = 128,429,197.24/9,676.82
  6. Step 6: Final answer
    x = 13,271.85

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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.