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Finding the Fourth Proportional to 5,963.12, 8,205 and 5,810.48

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Solution

The fourth proportional to 5,963.12, 8,205 and 5,810.48 is: 7,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.12 : 8,205 = 5,810.48 : x
  2. Step 2: Convert to fraction form
    5,963.12/8,205 = 5,810.48/x
  3. Step 3: Cross multiply
    5,963.12x = 8,205 × 5,810.48
  4. Step 4: Simplify right side
    5,963.12x = 47,674,988.40
  5. Step 5: Solve for x
    x = 47,674,988.40/5,963.12
  6. Step 6: Final answer
    x = 7,994.97

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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.