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Finding the Fourth Proportional to 6,298.64, 8,697.92 and 4,064.39

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Solution

The fourth proportional to 6,298.64, 8,697.92 and 4,064.39 is: 5,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.64 : 8,697.92 = 4,064.39 : x
  2. Step 2: Convert to fraction form
    6,298.64/8,697.92 = 4,064.39/x
  3. Step 3: Cross multiply
    6,298.64x = 8,697.92 × 4,064.39
  4. Step 4: Simplify right side
    6,298.64x = 35,351,739.07
  5. Step 5: Solve for x
    x = 35,351,739.07/6,298.64
  6. Step 6: Final answer
    x = 5,612.60

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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.