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Finding the Fourth Proportional to 6,867.24, 9,473.40 and 4,626.24

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Solution

The fourth proportional to 6,867.24, 9,473.40 and 4,626.24 is: 6,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.24 : 9,473.40 = 4,626.24 : x
  2. Step 2: Convert to fraction form
    6,867.24/9,473.40 = 4,626.24/x
  3. Step 3: Cross multiply
    6,867.24x = 9,473.40 × 4,626.24
  4. Step 4: Simplify right side
    6,867.24x = 43,826,222.02
  5. Step 5: Solve for x
    x = 43,826,222.02/6,867.24
  6. Step 6: Final answer
    x = 6,381.93

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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.