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Finding the Fourth Proportional to 10,492.12, 14,480.15 and 7,834.92

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Solution

The fourth proportional to 10,492.12, 14,480.15 and 7,834.92 is: 10,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.12 : 14,480.15 = 7,834.92 : x
  2. Step 2: Convert to fraction form
    10,492.12/14,480.15 = 7,834.92/x
  3. Step 3: Cross multiply
    10,492.12x = 14,480.15 × 7,834.92
  4. Step 4: Simplify right side
    10,492.12x = 113,450,816.84
  5. Step 5: Solve for x
    x = 113,450,816.84/10,492.12
  6. Step 6: Final answer
    x = 10,812.95

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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.