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Finding the Fourth Proportional to 9,492.58, 14,240.01 and 3,949.67

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Solution

The fourth proportional to 9,492.58, 14,240.01 and 3,949.67 is: 5,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.58 : 14,240.01 = 3,949.67 : x
  2. Step 2: Convert to fraction form
    9,492.58/14,240.01 = 3,949.67/x
  3. Step 3: Cross multiply
    9,492.58x = 14,240.01 × 3,949.67
  4. Step 4: Simplify right side
    9,492.58x = 56,243,340.30
  5. Step 5: Solve for x
    x = 56,243,340.30/9,492.58
  6. Step 6: Final answer
    x = 5,924.98

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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.