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Finding the Fourth Proportional to 6,297.16, 8,689.88 and 3,464.53

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Solution

The fourth proportional to 6,297.16, 8,689.88 and 3,464.53 is: 4,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.16 : 8,689.88 = 3,464.53 : x
  2. Step 2: Convert to fraction form
    6,297.16/8,689.88 = 3,464.53/x
  3. Step 3: Cross multiply
    6,297.16x = 8,689.88 × 3,464.53
  4. Step 4: Simplify right side
    6,297.16x = 30,106,306.51
  5. Step 5: Solve for x
    x = 30,106,306.51/6,297.16
  6. Step 6: Final answer
    x = 4,780.94

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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.