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Finding the Fourth Proportional to 9,492.99, 13,101.46 and 6,975.96

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Solution

The fourth proportional to 9,492.99, 13,101.46 and 6,975.96 is: 9,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.99 : 13,101.46 = 6,975.96 : x
  2. Step 2: Convert to fraction form
    9,492.99/13,101.46 = 6,975.96/x
  3. Step 3: Cross multiply
    9,492.99x = 13,101.46 × 6,975.96
  4. Step 4: Simplify right side
    9,492.99x = 91,395,226.02
  5. Step 5: Solve for x
    x = 91,395,226.02/9,492.99
  6. Step 6: Final answer
    x = 9,627.65

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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.