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Finding the Fourth Proportional to 6,830.40, 9,441 and 6,230.64

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Solution

The fourth proportional to 6,830.40, 9,441 and 6,230.64 is: 8,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.40 : 9,441 = 6,230.64 : x
  2. Step 2: Convert to fraction form
    6,830.40/9,441 = 6,230.64/x
  3. Step 3: Cross multiply
    6,830.40x = 9,441 × 6,230.64
  4. Step 4: Simplify right side
    6,830.40x = 58,823,472.24
  5. Step 5: Solve for x
    x = 58,823,472.24/6,830.40
  6. Step 6: Final answer
    x = 8,612.01

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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.