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Finding the Fourth Proportional to 6,890.62, 9,506.01 and 4,094.50

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Solution

The fourth proportional to 6,890.62, 9,506.01 and 4,094.50 is: 5,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.62 : 9,506.01 = 4,094.50 : x
  2. Step 2: Convert to fraction form
    6,890.62/9,506.01 = 4,094.50/x
  3. Step 3: Cross multiply
    6,890.62x = 9,506.01 × 4,094.50
  4. Step 4: Simplify right side
    6,890.62x = 38,922,357.95
  5. Step 5: Solve for x
    x = 38,922,357.95/6,890.62
  6. Step 6: Final answer
    x = 5,648.60

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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.