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Finding the Fourth Proportional to 10,492.92, 14,478.12 and 7,974.36

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Solution

The fourth proportional to 10,492.92, 14,478.12 and 7,974.36 is: 11,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.92 : 14,478.12 = 7,974.36 : x
  2. Step 2: Convert to fraction form
    10,492.92/14,478.12 = 7,974.36/x
  3. Step 3: Cross multiply
    10,492.92x = 14,478.12 × 7,974.36
  4. Step 4: Simplify right side
    10,492.92x = 115,453,741.00
  5. Step 5: Solve for x
    x = 115,453,741.00/10,492.92
  6. Step 6: Final answer
    x = 11,003.01

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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.