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Finding the Fourth Proportional to 6,402.90, 9,591.78 and 5,706.30

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Solution

The fourth proportional to 6,402.90, 9,591.78 and 5,706.30 is: 8,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.90 : 9,591.78 = 5,706.30 : x
  2. Step 2: Convert to fraction form
    6,402.90/9,591.78 = 5,706.30/x
  3. Step 3: Cross multiply
    6,402.90x = 9,591.78 × 5,706.30
  4. Step 4: Simplify right side
    6,402.90x = 54,733,574.21
  5. Step 5: Solve for x
    x = 54,733,574.21/6,402.90
  6. Step 6: Final answer
    x = 8,548.25

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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.