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Finding the Fourth Proportional to 10,578.40, 14,597.21 and 6,328.63

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Solution

The fourth proportional to 10,578.40, 14,597.21 and 6,328.63 is: 8,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.40 : 14,597.21 = 6,328.63 : x
  2. Step 2: Convert to fraction form
    10,578.40/14,597.21 = 6,328.63/x
  3. Step 3: Cross multiply
    10,578.40x = 14,597.21 × 6,328.63
  4. Step 4: Simplify right side
    10,578.40x = 92,380,375.19
  5. Step 5: Solve for x
    x = 92,380,375.19/10,578.40
  6. Step 6: Final answer
    x = 8,732.93

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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.