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Finding the Fourth Proportional to 9,408, 14,115.16 and 6,599.76

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Solution

The fourth proportional to 9,408, 14,115.16 and 6,599.76 is: 9,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 14,115.16 = 6,599.76 : x
  2. Step 2: Convert to fraction form
    9,408/14,115.16 = 6,599.76/x
  3. Step 3: Cross multiply
    9,408x = 14,115.16 × 6,599.76
  4. Step 4: Simplify right side
    9,408x = 93,156,668.36
  5. Step 5: Solve for x
    x = 93,156,668.36/9,408
  6. Step 6: Final answer
    x = 9,901.86

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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.