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Finding the Fourth Proportional to 5,951.84, 8,214.02 and 3,300.10

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Solution

The fourth proportional to 5,951.84, 8,214.02 and 3,300.10 is: 4,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.84 : 8,214.02 = 3,300.10 : x
  2. Step 2: Convert to fraction form
    5,951.84/8,214.02 = 3,300.10/x
  3. Step 3: Cross multiply
    5,951.84x = 8,214.02 × 3,300.10
  4. Step 4: Simplify right side
    5,951.84x = 27,107,075.12
  5. Step 5: Solve for x
    x = 27,107,075.12/5,951.84
  6. Step 6: Final answer
    x = 4,554.41

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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.