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Finding the Fourth Proportional to 6,585.40, 9,861.90 and 6,293.80

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Solution

The fourth proportional to 6,585.40, 9,861.90 and 6,293.80 is: 9,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.40 : 9,861.90 = 6,293.80 : x
  2. Step 2: Convert to fraction form
    6,585.40/9,861.90 = 6,293.80/x
  3. Step 3: Cross multiply
    6,585.40x = 9,861.90 × 6,293.80
  4. Step 4: Simplify right side
    6,585.40x = 62,068,826.22
  5. Step 5: Solve for x
    x = 62,068,826.22/6,585.40
  6. Step 6: Final answer
    x = 9,425.22

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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.