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Finding the Fourth Proportional to 9,673.77, 14,486.03 and 6,376.86

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Solution

The fourth proportional to 9,673.77, 14,486.03 and 6,376.86 is: 9,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.77 : 14,486.03 = 6,376.86 : x
  2. Step 2: Convert to fraction form
    9,673.77/14,486.03 = 6,376.86/x
  3. Step 3: Cross multiply
    9,673.77x = 14,486.03 × 6,376.86
  4. Step 4: Simplify right side
    9,673.77x = 92,375,353.38
  5. Step 5: Solve for x
    x = 92,375,353.38/9,673.77
  6. Step 6: Final answer
    x = 9,549.05

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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.