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Finding the Fourth Proportional to 6,281.40, 9,415.70 and 3,503.80

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Solution

The fourth proportional to 6,281.40, 9,415.70 and 3,503.80 is: 5,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.40 : 9,415.70 = 3,503.80 : x
  2. Step 2: Convert to fraction form
    6,281.40/9,415.70 = 3,503.80/x
  3. Step 3: Cross multiply
    6,281.40x = 9,415.70 × 3,503.80
  4. Step 4: Simplify right side
    6,281.40x = 32,990,729.66
  5. Step 5: Solve for x
    x = 32,990,729.66/6,281.40
  6. Step 6: Final answer
    x = 5,252.13

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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.