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Finding the Fourth Proportional to 12,462.12, 17,199 and 7,157.16

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Solution

The fourth proportional to 12,462.12, 17,199 and 7,157.16 is: 9,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.12 : 17,199 = 7,157.16 : x
  2. Step 2: Convert to fraction form
    12,462.12/17,199 = 7,157.16/x
  3. Step 3: Cross multiply
    12,462.12x = 17,199 × 7,157.16
  4. Step 4: Simplify right side
    12,462.12x = 123,095,994.84
  5. Step 5: Solve for x
    x = 123,095,994.84/12,462.12
  6. Step 6: Final answer
    x = 9,877.61

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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.