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Finding the Fourth Proportional to 12,830.67, 17,707.14 and 7,524.90

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Solution

The fourth proportional to 12,830.67, 17,707.14 and 7,524.90 is: 10,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.67 : 17,707.14 = 7,524.90 : x
  2. Step 2: Convert to fraction form
    12,830.67/17,707.14 = 7,524.90/x
  3. Step 3: Cross multiply
    12,830.67x = 17,707.14 × 7,524.90
  4. Step 4: Simplify right side
    12,830.67x = 133,244,457.79
  5. Step 5: Solve for x
    x = 133,244,457.79/12,830.67
  6. Step 6: Final answer
    x = 10,384.84

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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.