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Finding the Fourth Proportional to 10,584.68, 14,605.31 and 6,334.76

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Solution

The fourth proportional to 10,584.68, 14,605.31 and 6,334.76 is: 8,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.68 : 14,605.31 = 6,334.76 : x
  2. Step 2: Convert to fraction form
    10,584.68/14,605.31 = 6,334.76/x
  3. Step 3: Cross multiply
    10,584.68x = 14,605.31 × 6,334.76
  4. Step 4: Simplify right side
    10,584.68x = 92,521,185.93
  5. Step 5: Solve for x
    x = 92,521,185.93/10,584.68
  6. Step 6: Final answer
    x = 8,741.05

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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.