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Finding the Fourth Proportional to 6,553.40, 9,830.10 and 1,936.40

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Solution

The fourth proportional to 6,553.40, 9,830.10 and 1,936.40 is: 2,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.40 : 9,830.10 = 1,936.40 : x
  2. Step 2: Convert to fraction form
    6,553.40/9,830.10 = 1,936.40/x
  3. Step 3: Cross multiply
    6,553.40x = 9,830.10 × 1,936.40
  4. Step 4: Simplify right side
    6,553.40x = 19,035,005.64
  5. Step 5: Solve for x
    x = 19,035,005.64/6,553.40
  6. Step 6: Final answer
    x = 2,904.60

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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.