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Finding the Fourth Proportional to 9,571.64, 14,353.82 and 6,283.86

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Solution

The fourth proportional to 9,571.64, 14,353.82 and 6,283.86 is: 9,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.64 : 14,353.82 = 6,283.86 : x
  2. Step 2: Convert to fraction form
    9,571.64/14,353.82 = 6,283.86/x
  3. Step 3: Cross multiply
    9,571.64x = 14,353.82 × 6,283.86
  4. Step 4: Simplify right side
    9,571.64x = 90,197,395.35
  5. Step 5: Solve for x
    x = 90,197,395.35/9,571.64
  6. Step 6: Final answer
    x = 9,423.40

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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.