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Finding the Fourth Proportional to 12,792.47, 17,653.65 and 7,415.96

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Solution

The fourth proportional to 12,792.47, 17,653.65 and 7,415.96 is: 10,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.47 : 17,653.65 = 7,415.96 : x
  2. Step 2: Convert to fraction form
    12,792.47/17,653.65 = 7,415.96/x
  3. Step 3: Cross multiply
    12,792.47x = 17,653.65 × 7,415.96
  4. Step 4: Simplify right side
    12,792.47x = 130,918,646.18
  5. Step 5: Solve for x
    x = 130,918,646.18/12,792.47
  6. Step 6: Final answer
    x = 10,234.04

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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.