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Finding the Fourth Proportional to 6,890.74, 9,506.18 and 4,591.66

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Solution

The fourth proportional to 6,890.74, 9,506.18 and 4,591.66 is: 6,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.74 : 9,506.18 = 4,591.66 : x
  2. Step 2: Convert to fraction form
    6,890.74/9,506.18 = 4,591.66/x
  3. Step 3: Cross multiply
    6,890.74x = 9,506.18 × 4,591.66
  4. Step 4: Simplify right side
    6,890.74x = 43,649,146.46
  5. Step 5: Solve for x
    x = 43,649,146.46/6,890.74
  6. Step 6: Final answer
    x = 6,334.46

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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.