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Finding the Fourth Proportional to 10,765.67, 14,859.12 and 6,792.21

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Solution

The fourth proportional to 10,765.67, 14,859.12 and 6,792.21 is: 9,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.67 : 14,859.12 = 6,792.21 : x
  2. Step 2: Convert to fraction form
    10,765.67/14,859.12 = 6,792.21/x
  3. Step 3: Cross multiply
    10,765.67x = 14,859.12 × 6,792.21
  4. Step 4: Simplify right side
    10,765.67x = 100,926,263.46
  5. Step 5: Solve for x
    x = 100,926,263.46/10,765.67
  6. Step 6: Final answer
    x = 9,374.82

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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.