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Finding the Fourth Proportional to 10,496.52, 14,486.80 and 7,974.52

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Solution

The fourth proportional to 10,496.52, 14,486.80 and 7,974.52 is: 11,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.52 : 14,486.80 = 7,974.52 : x
  2. Step 2: Convert to fraction form
    10,496.52/14,486.80 = 7,974.52/x
  3. Step 3: Cross multiply
    10,496.52x = 14,486.80 × 7,974.52
  4. Step 4: Simplify right side
    10,496.52x = 115,525,276.34
  5. Step 5: Solve for x
    x = 115,525,276.34/10,496.52
  6. Step 6: Final answer
    x = 11,006.05

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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.