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Finding the Fourth Proportional to 10,496.11, 14,497.64 and 7,620.25

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Solution

The fourth proportional to 10,496.11, 14,497.64 and 7,620.25 is: 10,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.11 : 14,497.64 = 7,620.25 : x
  2. Step 2: Convert to fraction form
    10,496.11/14,497.64 = 7,620.25/x
  3. Step 3: Cross multiply
    10,496.11x = 14,497.64 × 7,620.25
  4. Step 4: Simplify right side
    10,496.11x = 110,475,566.86
  5. Step 5: Solve for x
    x = 110,475,566.86/10,496.11
  6. Step 6: Final answer
    x = 10,525.38

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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.