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Finding the Fourth Proportional to 6,304.64, 9,457 and 1,922.06

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Solution

The fourth proportional to 6,304.64, 9,457 and 1,922.06 is: 2,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.64 : 9,457 = 1,922.06 : x
  2. Step 2: Convert to fraction form
    6,304.64/9,457 = 1,922.06/x
  3. Step 3: Cross multiply
    6,304.64x = 9,457 × 1,922.06
  4. Step 4: Simplify right side
    6,304.64x = 18,176,921.42
  5. Step 5: Solve for x
    x = 18,176,921.42/6,304.64
  6. Step 6: Final answer
    x = 2,883.10

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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.