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Finding the Fourth Proportional to 7,029.32, 9,700.43 and 3,885.53

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Solution

The fourth proportional to 7,029.32, 9,700.43 and 3,885.53 is: 5,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.32 : 9,700.43 = 3,885.53 : x
  2. Step 2: Convert to fraction form
    7,029.32/9,700.43 = 3,885.53/x
  3. Step 3: Cross multiply
    7,029.32x = 9,700.43 × 3,885.53
  4. Step 4: Simplify right side
    7,029.32x = 37,691,243.85
  5. Step 5: Solve for x
    x = 37,691,243.85/7,029.32
  6. Step 6: Final answer
    x = 5,362.01

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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.