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Finding the Fourth Proportional to 7,297.70, 10,070.41 and 4,313.82

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Solution

The fourth proportional to 7,297.70, 10,070.41 and 4,313.82 is: 5,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.70 : 10,070.41 = 4,313.82 : x
  2. Step 2: Convert to fraction form
    7,297.70/10,070.41 = 4,313.82/x
  3. Step 3: Cross multiply
    7,297.70x = 10,070.41 × 4,313.82
  4. Step 4: Simplify right side
    7,297.70x = 43,441,914.50
  5. Step 5: Solve for x
    x = 43,441,914.50/7,297.70
  6. Step 6: Final answer
    x = 5,952.82

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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.