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Finding the Fourth Proportional to 6,955.53, 9,598.65 and 3,811.77

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Solution

The fourth proportional to 6,955.53, 9,598.65 and 3,811.77 is: 5,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.53 : 9,598.65 = 3,811.77 : x
  2. Step 2: Convert to fraction form
    6,955.53/9,598.65 = 3,811.77/x
  3. Step 3: Cross multiply
    6,955.53x = 9,598.65 × 3,811.77
  4. Step 4: Simplify right side
    6,955.53x = 36,587,846.11
  5. Step 5: Solve for x
    x = 36,587,846.11/6,955.53
  6. Step 6: Final answer
    x = 5,260.25

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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.