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Finding the Fourth Proportional to 9,202.58, 12,700.78 and 6,851.42

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Solution

The fourth proportional to 9,202.58, 12,700.78 and 6,851.42 is: 9,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.58 : 12,700.78 = 6,851.42 : x
  2. Step 2: Convert to fraction form
    9,202.58/12,700.78 = 6,851.42/x
  3. Step 3: Cross multiply
    9,202.58x = 12,700.78 × 6,851.42
  4. Step 4: Simplify right side
    9,202.58x = 87,018,378.11
  5. Step 5: Solve for x
    x = 87,018,378.11/9,202.58
  6. Step 6: Final answer
    x = 9,455.87

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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.