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Finding the Fourth Proportional to 6,538.60, 9,807.90 and 4,340.20

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Solution

The fourth proportional to 6,538.60, 9,807.90 and 4,340.20 is: 6,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.60 : 9,807.90 = 4,340.20 : x
  2. Step 2: Convert to fraction form
    6,538.60/9,807.90 = 4,340.20/x
  3. Step 3: Cross multiply
    6,538.60x = 9,807.90 × 4,340.20
  4. Step 4: Simplify right side
    6,538.60x = 42,568,247.58
  5. Step 5: Solve for x
    x = 42,568,247.58/6,538.60
  6. Step 6: Final answer
    x = 6,510.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.