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Finding the Fourth Proportional to 7,740.77, 10,682.16 and 4,204.00

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Solution

The fourth proportional to 7,740.77, 10,682.16 and 4,204.00 is: 5,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.77 : 10,682.16 = 4,204.00 : x
  2. Step 2: Convert to fraction form
    7,740.77/10,682.16 = 4,204.00/x
  3. Step 3: Cross multiply
    7,740.77x = 10,682.16 × 4,204.00
  4. Step 4: Simplify right side
    7,740.77x = 44,907,747.23
  5. Step 5: Solve for x
    x = 44,907,747.23/7,740.77
  6. Step 6: Final answer
    x = 5,801.46

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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.