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Finding the Fourth Proportional to 9,353.76, 12,909.42 and 6,519.30

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Solution

The fourth proportional to 9,353.76, 12,909.42 and 6,519.30 is: 8,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.76 : 12,909.42 = 6,519.30 : x
  2. Step 2: Convert to fraction form
    9,353.76/12,909.42 = 6,519.30/x
  3. Step 3: Cross multiply
    9,353.76x = 12,909.42 × 6,519.30
  4. Step 4: Simplify right side
    9,353.76x = 84,160,381.81
  5. Step 5: Solve for x
    x = 84,160,381.81/9,353.76
  6. Step 6: Final answer
    x = 8,997.49

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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.