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Finding the Fourth Proportional to 6,003.64, 8,284.02 and 3,486.16

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Solution

The fourth proportional to 6,003.64, 8,284.02 and 3,486.16 is: 4,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.64 : 8,284.02 = 3,486.16 : x
  2. Step 2: Convert to fraction form
    6,003.64/8,284.02 = 3,486.16/x
  3. Step 3: Cross multiply
    6,003.64x = 8,284.02 × 3,486.16
  4. Step 4: Simplify right side
    6,003.64x = 28,879,419.16
  5. Step 5: Solve for x
    x = 28,879,419.16/6,003.64
  6. Step 6: Final answer
    x = 4,810.32

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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.