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Finding the Fourth Proportional to 6,353.64, 9,534.04 and 4,963.07

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Solution

The fourth proportional to 6,353.64, 9,534.04 and 4,963.07 is: 7,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.64 : 9,534.04 = 4,963.07 : x
  2. Step 2: Convert to fraction form
    6,353.64/9,534.04 = 4,963.07/x
  3. Step 3: Cross multiply
    6,353.64x = 9,534.04 × 4,963.07
  4. Step 4: Simplify right side
    6,353.64x = 47,318,119.33
  5. Step 5: Solve for x
    x = 47,318,119.33/6,353.64
  6. Step 6: Final answer
    x = 7,447.40

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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.