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Finding the Fourth Proportional to 5,969.70, 8,952.12 and 4,796.01

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Solution

The fourth proportional to 5,969.70, 8,952.12 and 4,796.01 is: 7,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.70 : 8,952.12 = 4,796.01 : x
  2. Step 2: Convert to fraction form
    5,969.70/8,952.12 = 4,796.01/x
  3. Step 3: Cross multiply
    5,969.70x = 8,952.12 × 4,796.01
  4. Step 4: Simplify right side
    5,969.70x = 42,934,457.04
  5. Step 5: Solve for x
    x = 42,934,457.04/5,969.70
  6. Step 6: Final answer
    x = 7,192.06

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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.