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Finding the Fourth Proportional to 6,969.66, 9,614.07 and 4,485.66

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Solution

The fourth proportional to 6,969.66, 9,614.07 and 4,485.66 is: 6,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.66 : 9,614.07 = 4,485.66 : x
  2. Step 2: Convert to fraction form
    6,969.66/9,614.07 = 4,485.66/x
  3. Step 3: Cross multiply
    6,969.66x = 9,614.07 × 4,485.66
  4. Step 4: Simplify right side
    6,969.66x = 43,125,449.24
  5. Step 5: Solve for x
    x = 43,125,449.24/6,969.66
  6. Step 6: Final answer
    x = 6,187.60

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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.