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Finding the Fourth Proportional to 6,165.81, 8,510.40 and 3,806.60

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Solution

The fourth proportional to 6,165.81, 8,510.40 and 3,806.60 is: 5,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.81 : 8,510.40 = 3,806.60 : x
  2. Step 2: Convert to fraction form
    6,165.81/8,510.40 = 3,806.60/x
  3. Step 3: Cross multiply
    6,165.81x = 8,510.40 × 3,806.60
  4. Step 4: Simplify right side
    6,165.81x = 32,395,646.09
  5. Step 5: Solve for x
    x = 32,395,646.09/6,165.81
  6. Step 6: Final answer
    x = 5,254.08

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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.